Question

Given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Answer 1

Answer:
`f(g(x))=2x^2+16x+29`

Explanation:

`f(x)=2x^2-3\\g(x)=x+4`

f of g of x means "function f, replace x by the value of g of x"

`f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29`

Answer 2

2x^3+8x^2−3x−12

Explanation:

Given f(x)=2x^2−3 and g(x)=x+4.

What is (fg)(x)?

2x^3+8x^2−3x−12