Question

Multiply
g(x) = x2 + 3x
h(x) = 2x - 2
Find (g* h)(2)

Answer 1

10

Explanation:

At first, (goh)(x)= g{h(x)}

= g{2x-2}

={2x-2}^2 +3x

`= 4 {x}^(2) - 8x + 4 + 3x \\ = 4 {x}^(2) - 5x + 4 \\ then \: \:(goh)(2) = 4 * {2}^(2) - 5 * 2 + 4 \\ = 16 - 10 + 4 \\ = 10`

hope u got it.....