Complete the following table. g(x) f(x) (f• g)(x) x-1 /x- 1 а. b. x+6 8x 8x + 48 Vx-1 - 1 C.

Q: Find the domain of the following functions a. f(x) = Vx2 - 16 + V36 - x2 1 b. f(x) 2x2+5x-3

A: Domain of the function

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

A:

Q: For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2),…

A:

Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: Let g(x) = - 5x and h(x) = x +3. Find (g o h)(0).

A:

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Given that g(x) = 3x-1/x+2 and h(x) = 7x+1/5x-1 a. Evaluate g(3). b. Show that hg(3) = 61/35

A: We evaluate the following function

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: 1 f (x) = Зх — 4 3x

A:

Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

A:

Q: f(x) = Vx2 - 4, g(x) = x2 %3D x2 + 1 (a) (f+ g)(x) = (b) (f- g)(x) =

A: f(x)=x2-4  , g(x)=x2x2+1 First we find (f+g)(x) (f+g)(x)=f(x)+g(x)Replace f(x)  and g(x)f(x)=x2-4  ,…