1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it true that (i) f(x) =f(-x)? (ii) f(x+1) = f(x) +f(1)? (iii) f(2x) = 2f(x)?

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f • g)(3)?

A: f(x)= 3x+4 , f(3)= 14 g(x)= -2x -3, g(3)= -9 f(-9)= -23

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

A:

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: function f(x) = 4x +4>

A:

Q: 15. Subtract the functions: f(x)- g(x) where f(x) = -3x + 6 and g(x) = 4x- 2 h(x) = f(x) - g(x) =…

A: Answer and explanation is given below...

Q: Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum,…

A: As per Bartleby rules we have to answer only first three questions.