Question

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (FoG)(x)?

Answer 1

I hope this helps you

Answer 2

Answer:
`(f\circ g)(x)=3x^2+5`

Explanation:

We know that if f and g are functions, then the composite function of f and g is defined by :-

`(f\circ g)(x)=f(g(x))`

Given: If
`f(x) = 3x + 2\ and\ g(x) = x^2 + 1`

Then,
`(f\circ g)(x)=f(g(x))\\\\=f(x^2 + 1)\\\\=3(x^2 + 1)+ 2\\\\=3x^2+3+2\\\\=3x^2+5`

Hence,
`(f\circ g)(x)=3x^2+5`