Question

If f(x) = x2 + x and g(x) = x − 3, find f(g(7)).
A.) 20
B.) 28
C.) 32
D.) 53

Answer 1

The first one is the correct one.

Answer 2

A. 20

Explanation:

We are given,

The function
`f(x)=x^2+x` and
`g(x)=x-3`.

It is required to find
`f(g(7))`.

Now, we have,

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

So, we get,

`f(g(7))=(7-3)^2+(7-3)\\\\f(g(7))=4^2+4\\\\f(g(7))=16+4\\\\f(g(7))=20`

Thus, the value of
`f(g(7))` is 20.

So, option A is correct.