Question 1. Find (k,,k)(0)

for k(x)=4x²

+2x3.

(k,,k)(0)=

Question 2

Find g(x)

such that (fg)(x)=4x¹⁰

3x⁵

and f(x)=4x²

3x.

g(x)=

Question 3

Given g(t)=13+8t²

and k(t)=8t13,

find (gk)(t).

Enter the expression in simplest form.

(gk)(t)=

Question 4

Find (k,,p)(2)

for k(x)=5x²

4x+3

and p(x)=4x5.

(k,,p)(2)=

Question 5

Find (w,,s)(x)

and (s,,w)(x)

for w(x)=3x4

and s(x)=x²

3x+2

(w,,s)(x)=

(s,,w)(x)=

Question 6

Find f(x)

such that (fg)(x)=4x⁴

8x²

and g(x)=x²

.

f(x)=

Question 7

Find f(x)

such that (fg)(x)=2x¹⁰

6x⁵

and g(x)=x⁵

.

f(x)=

Question 8

Given p(t)=t²

19t+88

and s(t)=t8,

find (p/s)(t).

Enter the expression in simplest form.Assume s(t) does not equal zero.

(p/s)(t)=

Question 9

Find f(x)

such that (fg)(x)=4x⁸

4x⁴

and g(x)=x⁴

.

f(x)=

Question 10

Find (kp)(3)

and (pk)(3)

for k(x)=2x²

+5x6

and p(x)=2x+3

.

(kp)(3)

=

(pk)(3)

=

Question 11

Find (gf)(13x)

and (fg)(13x)

for f(x)=4x

and g(x)=4x

(gf)(13x)

=

(fg)(13x)

=

Question 12

Find (ps)(x)

and (sp)(x)

for p(x)=3x2

and s(x)=x

.

(ps)(x)

=

(sp)(x)

=

Question 13

Find (fg)(1)

and (gf)(1)

for g(x)=4x

and f(x)=4(x1)²

.

(fg)(1)

=

(gf)(1)

=

Question 14

Find (kg)(x)

and (gk)(x)

for g(x)=x²

+6x2

and k(x)=3/x1

(kg)(x)=

(gk)(x)

=

Question 15

Find g(x)

such that (fg)(x)=4x+17

and f(x)=2x+7

g(x)=