Question

If f(x) = x2 + 5 and g(x) = 5x + 4, what is [f o g](6)?

Answer 1

I hope this helps you

Answer 2

`(fog)(6)=1161`

Explanation:

It is given that
`f(x)=x^2+5` and
`g(x)=5x+4`, then
`(fog)(x)` can be written as:

`(fog)(x)=(5x+4)^2+5`

Upon solving the above equation, we get

`(fog)(x)=25x^2+16+40x+5`

`(fog)(x)=25x^2+40x+21`

Now,
`(fog)(6)` can be written as:

`(fog)(6)=25(6)^2+40(6)+21`

`(fog)(6)=900+240+21`

`(fog)(6)=1161`

Therefore, the value of
`(fog)(6)` is 1161.