Question

Let f(x) = 3x2 + 2x - 4 and g(x) = x +h
Find f(g(2))

Answer 1

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

Explanation:

we have

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

`g(x)=x+h`

we know that

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

To determine
`f(g(2))`

substitute the value of x=2 in the function

so

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