1 Given f(x): and g(x) = 3 3 find the domain of f(g(x)) 4 Domain:

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: f(x)=x-1; g(x)=2x2 Find 1. (f+g)(x) 2. (f-g)(x)

A: Given, f(x) = x - 1 g(x) = 2x2

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

A:

Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: 2+ and g(x) = Figure out the domain of (fog)(x) in which f(x) = 4-x2

A: Given f(x)=2+x4-x2g(x)=1xHere…

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

A:

Q: 3x is The vertical asymptote of f(x) : %3D 2-Inx

A:

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

A:

Q: 16. What is the range of the function f(x) = 9 + 6x for the domain {-2, 0, 2, 4}?

A:

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: When g(x) is x+6/2 When f(0) is -3 What is g-1f(0)

A:

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

A:

Q: 1) f(x) = 5x and g(x) = x - 3, find f(2) + g(1)

A: Please see the below picture for detailed solution.

Q: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3)

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

A:

Q: g(x) =   5x + 1      find g-1(x)                2x - 6

A: Given gx=5x+12x-6 To find g-1x:

Q: 13. Find [f• g](-4) for f(x) = x-8 and g(x) =-x² +2.

A: Given thatf(x)=x-8g(x)=-x2+2to find fog(-4)

Q: 5. Given f(x) =-x+ 3 and g(x) = 2x2 – 5, find the value of f (0) + g(1).

A:

Q: 14. The range of the function f(x) = 3x² - 2x+8 is {13,29}. What is the function's domain? a. {1,-2}…

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Q: Given the functions            g(x) =   5x - 2      find g-1(x)…

A: The given function is gx=5x-24x+3. Replace x by y and gx by x and then solve for y as follows.

Q: 4. Find the absolute extreme values of f (x) = x²/3 (4 – x²) on the interval [-2, 2].

A:

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

A:

Q: finding the vertical asympnotes for the following; g(x)=x+2/x2 -1

A:

Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: 7x -1 Given f(x) = x+7 1 and g(x) = . What is g(f(x))? A gf(x)) = – x 7x B g(f(x)) = X+7 7x-1 ©…

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Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

A:

Q: 8. Given f(x) = 3x -9x+35 and g(x)= f(x), determine all possible values for g(5).

A: No real roots

Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: - 3/7 Find g'(x) for g(x) = x g'(x) =

A:

Q: 19. Find the domain and range of f(x) = 2e-x +1

A:

Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = -lxl.

A: The given function is fx=x.

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum in the interval…

A: g(x)=(x2-4)2 attain the absolute maximum at in the interval -3,1

Q: The degree of f(x) is and the leading coefficient is There are real zeros and relative maximum…

A: Consider the graph

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: G(x)=3/4t+2, find G-1(1)

A:

Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

Q: 17. Given f(x) = k(2 + x), find the value of k if f(-2) = -3. %3D

A: