Show your work F(x)=5x^2-4x+1 G(x)=3x-2 H(x)=x+1 K(x)= 4x What is (g*h)(x)= What is g(k(x))= What is k(g(0)) =

Answer:

— What is (g × h)(x)?

The answer is 3x²+x-2

— What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

— What is k(g(0))

The answer is -8

Explanation:

Given these functions —

Find (g × h)(x)

Substitute g(x) = 3x - 2 and h(x) = x + 1

Multiply the polynomial.

Subtract - 2x out of 3x —

Thus, the answer is —

Find (g(k(x))

Substitute k(x) = 4x in g(x).

Distribute 3 in 4x —

Thus the answer is —

Alternative Solution

Find k(g(0))

Given two functions — k(x) and g(x)

Evaluate the value of g(0) as we substitute x = 0 in g(x)

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

Substitute g(0) = -2 in k(x)

Thus, the answer is —