Question

Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)
Please show all steps thank you

Answer 1

`(f\circ g)(-5)=85`

Explanation:

We are given:

`\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x`

And we want to find:

`(f\circ g)(-5)`

This is equivalent to:

`\displaystyle =f(g(-5))`

So, we will evaluate g(-5) first, which yields:

`\displaystyle g(-5)=(-5)^2+(-5)=25-5=20`

So:

`=f(g(-5))=f(20)`

Then:

`\displaystyle f(20)=4(20)+5=80+5=85`

Therefore:

`(f\circ g)(-5)=85`