Basic Math question and answers for April 01, 2024
- Q Solve the equation in the real number system: (x^5) - 4(x^4) +4(x^3)+2x -5x+2=0.x = -1,1,2x = -2,-1,1x = -5,-4,1,2,4x=-5,-4,1,2
- Q State the various transformations applied to the base function f(x) = (x^2) to obtain a graph of the function (x) = -2[(x - 1) +31A reflection about the y-axis, a...
- Q 28. State the various transformations applied to the base function f(x) = x to obtain a graph of the function g(x) = -2[(x - 1) +3].A reflection about the y-axis,...
- Q In this module assignment, many of your answers will involve monetary values, that is, dollars and cents. In WeBWork, you must remember to begin any monetary value with a dollar...
- Q Complete the statement.If a function f has an inverse and f(?) = -1, then f(? 1) =_
- Q Evaluate the polynomial function for x = -6 and x = -3.f(x) = x - 16xf(-6)=f(-3) =Based on the results and the Intermediate Value Theorem, which statement is correct?Because f(-6)...
- Q Solve the following equation.(2x + 1) (x + 1) = 0
- Q The one-to-one function f is defined below.f(x)=8-xFind f?(x), where f? is the inverse of f.
- Q f(x)= 3/(2x?- 3x - 3)?
- Q Which of the following does not represent a quadratic equation?y = 2x-4x + 7y = 2x(7-5x) + 3y = 1/x + 7y = 3x-4x -1
- Q y = 0.2(-3)^x is an exponential function.TrueFalse
- Q 1. A function y = f(x) has a hole whose coordinates occur at (3/2 , 2) and thefunction y = f(x) has at least one vertical asymptote.Provide the equation of...
- Q C(3000) = 330Now interpret the value of C(3000). Choose the correct interpretation below.A The value of C(3000) represents the minutes used that correspond to a monthly charge of $3000.B The...
- Q (a) f(x) =-1/3xg(x) =-1/3xf(g(x)) = g (f(x)) = fand g are inverses of each other fand g are not inverses of each other(b) f(x) = x + 4g(x) = x...
- Q The one-to-one functions g and h are defined as follows. g= {(1, 2), (1, 9), (2, 3), (3, -9), (7, 8)} h(x)= x-3/ 11 Find the following. g^-1 (2)=h^-1(x)=(h.h^-1)(0)=
- Q A roast turkey is removed from an oven when its temperature has reached 185F and is placed on a table in a room where the ambient temperature is 75F. (Round...
- Q For eac of functions f and g below, find f(g(x)) and g(f(x)).Then, determine whether fand g are inverses of each other.Simplify your answers as much as possible.(Assume that your expressions...
- Q If (x) =a/1+e^bx and f(0) = 1, (-1) = 1/1-e ,then a= and b=Input your answers as an integer or a real number with two decimals
- Q Use the vertex (h, k) and a point on the graph (x, y) to find the equation of the quadraticfunction in general form, f(x) = ax+bx+c.SHOW YOUR WORK IN STEPS.(h,...
- Q Evaluate g(x) = In(x) at the indicated value of x without using a calculator.X = e^- 1/4g(e-/4)=
- Q 2. For each function, create a table of values, graph the function, and state the domain and range,a. f(x) = 2/3x-4b. f(x) = 2x-1c. f(x) = 1/(x-1)
- Q Use f(x) = 6x and g(x) =x-6/2 to evaluate the expression.a. (fog)(4)b. (gof)(-5)a. (fog)(4) = (Simplify your answer.)b. (gof)(-5) = ...
- Q Find (fog)(x) and (gof)(x).f(x) = 7x-10, g(x)=8-5x(fog)(x) = (Simplify your answer.)(gof)(x) = (Simplify your answer.)
- Q Let f(x) =8x-9 / 6 and g(x) = 6x+9/8(a) Find (fog)(x).(b) Find (gof)(x).(a) (fog)(x) =(b) (gof)(x) =
- Q Let f(x)=x +4 and g(x) = 2x + 3. Find the following.(a) (f+g)(x)(b) (f-g)(x)(c) (f.g)(x).(d) (f/g)(x)(e) The domain of(a) (f+g)(x) = (Simplify your answer. Do not...
- Q Given the function f(x) =-2+x, evaluate the following:a) f(x + 1) =b) f(x) + f(8) =
- Q Determine the domain of the function. Fill in the blank below.f(x) =x-z/ x+yif z = 21andy = 42Solution: x ?
- Q Find the Domain. Include both. Set builder notation and interval notation. X.5 / X-2 * 1/ X.4
- Q Find the cumulative distribution function for the probability density function f(x)=1/9x -1/18 on the interval [2,5]F(x)=(Type an expression using x as the variable)What is the domain?The domain is(Type your answer...
- Q Answer the questions about the following function.f(x)=12x/x4 +36(a) is the point (-?6,1) on the graph of f?(b) If x=3, what is f(x)? What point is on the graph of f?(c)...
- Q Find the y-intercept of the function. Give your answer as an ordered pair.g (x) = 2 (4x ? 1) (3x + 1)
- Q comment on the pros and cons of social media use in disasters
- Q The graph of the function y = x is transformed to the graph of the function y = -2(x- 3)^4+1 bya)a horizontal stretch by a factor of 2, a reflection...
- Q Find f[g(x)] and g[f(x)].f(x) = 5x-3; g(x) =8/xf(g(x)] =
- Q Which of the following is an odd function?y=2x (x-3x)y = 2x (x ? 2)y = ?3x(x ? 2)(x+2)y=?5x(x ? 2)
- Q Graph the following function on the axes provided. f(x)=-1/2+3 for ?-4 -x+10 for x>1
- Q Determine the range of the quadratic function. Give your answer as an inequality-f(x)=7x-10x+10
- Q The point (19, -12) is on the graph of y = f(x).a) A point on the graph of y = g(x), where g(x) =-f(x) isb) A point on the graph...
- Q The concentration C of a drug in a patient's bloodstream t hours after injection (for the first 24 hours) is given by C(t)= 100t /2t + 75 nanograms per millileter...
- Q Check off all the statements that are true. (check all that apply)if h(c) = 0, then x - c is a factor of h(x)if x is a factor of g(x),...
- Q For the demand function q = D(p) = 219-p, find the following. a) Find the equation for elasticity. b) Find the elasticity at the given price, stating whether the demand...
- Q 1. (a) describe the increasing, decreasing, and constant behavior of the function. (b) find the relative maximum and relative minimum. (c) Find the domain and range of the function. you...
- Q 2. Function f(x,y)xy + y + 2x(y + 1). Suppose the initial values are given x1.yo=0, and the learning rate is set to 0.01.a) Perform one iteration of the gradient...
- Q If the domain of y = f(x) is -1 ? x ? 4, determine the domain of y = 3 f(-x-2).Select one:a.-2?x?3b. -6 ? x ?-1c. -10 ?x?5 d. -3...
- Q State the leading coefficient of the polynomial function f(x) = -x(-1x-2)(3x + 3)(-2x-6)^3
- Q W = -i Z-1/z+1R: |z|? 1,0 ? Argz ??/2find the mapping image, I need caculation process
- Q True or False: A degree 3 polynomial function may have 0, 1, 2, or 3 real zeroes.TrueFalse
- Q Given f(x) = 2(x - 1)(x - 2)(x + 3),a) What quadrant does f(x) start in?b) What quadrant does f(x) end in?
- Q Let g(x)=4x-3. Find g(2.5).g(2.5) =(Type an integer or a decimal.)
- Q Find the domain of f(z) the analytic function, graph on the z-plane.find the Re(f'(1)). (z) = (z + 1)^i
- Q Determine the domain of the quadratic functionf(x)=-6x - 6x +5
- Q What is the domain of the function?f(x)=-3x (x - 1) (x - 5)(-?0,0](0,3)(1,5)(-?, ?)[0, ?)
- Q Find the domain of each function using inequality notation. f (x) =1/x+4x-45
- Q For the given function f, evaluate f(-1), (0), (2), and (4).f(x)= x-2 if x < 2 4+|x-3| if x ? 2f(-1) =f(0) =f(2)=f...
- Q Given f(x) = px + q where p and are constant and p is positive. Find the value of p and q if f^2(x) = 4x + 15.
- Q 6) g(x) = -3+5csc(4x)Directions: In 5-6, sketch two periods of the graph of the given function. Be sure that the"fab five" points/places clearly represented on each graph
- Q Enter the interval equivalent to 2 < x < 5 or x > 7
- Q Give functions f: N ---> N that satisfy the following:(a) f is total and 1-1 but not onto(b) f is total and onto but not 1-1.(c) f is total, 1-1,...
- Q An exponential function contains the points (7, 102.52) and (8, 153.77). What is an exponential function that contains these points? Select one: (Note that the y-values in the points above...
- Q An exponential function contains the points (1,0.9) and (2, 1.62). What is an exponential functionthat contains these points?y 0.5 * 1.8"y=2*0.9y = 0.5 * 0.92y = 0.9
- Q An exponential function contains the points (2,16/3) and (3, 64/9)What is an exponential function that contains these points?Select one:y=(3/4)*y=3*4^xy = 4^xy=3* (4/3)^x
- Q Let f(x)=1/x. What is the value of f(1/100)
- Q Factor each polynomial completely. If a polynomial cannot be factored, write "prime".a) t + 4t - 12List possible combinations:Factored form:b) a-a-12List possible combinations:Factored form:
- Q f (x) is transformed from y =x^3 by shift 1 units to the right, reflect about the y-axis, vertical stretch by a factor of 2, and shift 3 units up.Find...
- Q Determine whether the following function is even, odd, or neither.f(x) = 2x - 3
- Q A table for f (x) is given below.x -4 -2 0 2...
- Q Let f(x) = 4x-6 and g(x) = 5x. Find the domain of (f+g)(x).Select one:a. The domain of f + g is the set of all real numbers except x =...
- Q What is the average value of f(x) between x = 0 and x = 2 for f(x) =2/2x+11.6090.8050.693 0
- Q Find the inverse function of f(x) = x - 4x-5, x ? 2. Show that the functions are inverse functions of each other, using the definition below:
- Q For the following function, find the value of (a) f(-1) and (b) f(3), if possible.y= x-2 if x ?0 x +4 if x > 0(a) Select...
- Q For the following functions: answer the all thesea. Find domain and rangeb. Find slope and interceptsc. Find average rate of changed. Graph.f(x)= 2x/3 +1g(x) = -x/3 -1h(x) = -3x/4 +5
- Q Which of the following is not a function?a) y=xb)x=yc) 2x + 3y = 5d) x + y = 1
- Q Which of the following statements is/are true about the functionf(x) = - 5|x| +4x.f(x) is an odd function.The graph of f(x) exhibits symmetry with respect to y axis.The graph of...
- Q Consider the functions below.f(x) = x/(x-4)g(x) = 9/x(a) Compute (fog)(x). Be careful when you input compound fractions.(fog)(x) =(b) Determine the domain of f o g.all real numbers except 0 and...
- Q 8. (Piecewise functions) Since each piece of a piecewise function is only graphed for part of the domain, we usually don't get the whole shape for each piece. Show what...
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