press the given function h as a composition of two functions f and g so that h(x) = (fo g)(x). h(x)= 7x-8 oose the correct pair of functions. A. ((x) = g(x) = x-8 7x B. f(x) =, g(x) = 7x-8 1 C. f(x) = 7x-8, g(x)= 1 D. f(x) = x- 8, g(x) = 3x

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function g(f[h(1)]) without…

A: We plug x=1 in h(x) first

Q: Find the absolute maximum and minimum values of the function f(x) = r'-6r +3 on the interval [-1,…

A:

Q: Find f(x+h)-f(x) for the function f(x) = x² – 2x.

A: Given : Function  f(x) = x2 - 2x   To find : {f(x + h) - f(x) }/h for the given function.

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

A:

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

A:

Q: 1) Write the function h(x)=1/(x-2)^2 as a composition of two functions 2)Write the function h(x)=…

A:

Q: 1. The function f(x) "2x2 + 10x models the height above the ground, in %3D cm, of a jumping frog…

A:

Q: Determine when f(x) g(x) %3D f(x) = In (3z)- 2 9(x) = e-4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f -1(1) without finding…

A:

Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

Q: Choose the definition for the function. -2x + 1 a.y=-x+ 2 (-2x + 1 b.y = {2 -x+ 2 x ≤1 x> 1 x 1 x ≤…

A: The given graph is as, This graph is the piecewise continuous graph. To find: the function of the…

Q: Find the function f(x) such that f'(x)=3e-2x-6x2+1 and f(0)=2

A:

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without…

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

A:

Q: Find ao of the function f(x) =÷(n - x)² 4

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x² + 3x – 3x x? - 2x + 6 -x? + 2x + 4 x² - 2x –…

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: 1. For the function y=x2-5x+x, calculate the value of y for the following values of x using…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: 3. Find the domain of the following functions: 7x2- 5x- 2 (a) f(x) = x2+ x- 6 g(x) =/2r2+ 5x+ 3 (b)…

A: We have to find the domain of the following functions - (a) f(x) = 7x2-5x-2x2+x-6(b) g(x) =…

Q: Q3) A) If you have three functions: f(x) = x2 – x %3D | g(x) = 3x – 1 w(x) = x2 – 2 So, find gof (x)…

A:

Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

A:

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

A:

Q: Find the internal where the function is increasing and decreasing for  g(x)= x-x^3

A:

Q: 32) If f(x) = -3x+ 2 and g(x) = 2x², find f(g(-1)).

A: Given values are f(x)= -3x+2                            g(x)= 2x2 we need to find f(g(-1)).  This…

Q: Find the function f(x) = -4x^2 + 3x-1 1. F(-2)

A:

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function (g ∘ f)(0) without…

A: Consider the function: fx=2x-5,  gx=4x-1,  hx=x2+x+2

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: 14. For the function f(x)=ax³+bx² –5x+9 , determine the values of a and b so that s(-1)=12 and…

A:

Q: - 5x + 9 x 3 -

A:

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

A:

Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

A:

Q: 8. Given the functions f(x) = 2x +5 and g(x) = x² - 4, find (f +g)x. a. 2x + 5x - 8x – 20 b. 2x - 5x…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (8). For the…

Q: Find the x-values of the stationary points of the function  f(x) = x^4 + 4x^3 - 4x^2 - 24x

A: Given: f(x)=x4+4x3−4x2−24x

Q: Let h(x)=f(x)g(x) where f(x)=2x^2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

A:

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b&gt;4B When is the function increasing and when is…

A: Function is increasing where slope f’(x) &gt;0 and decreasing where f’(x) &lt;0. Find the derivative…

Q: or what value of X does the function g(x) = 1/3 X3 - 2x2 attain the point of inflexion?

A:

Q: Find f(-2) for the function f(x) = 3x2 – 2x + 7. 2 -13 B -1 1 23

A:

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

A: