Question

if f(x)=-7x+2and g(x)=(square root)x+3, what is (f of g)(-2)

Answer 1

So we want to find f(g(-2))
First we need to find the inside part, g(-2)
Can you find g(-2)?

Answer 2

And also I'm assuming you meant
\[g(x)=\sqrt{x+3}\]
Is that right?

Answer 3

no, to your first question. Yes to the second.

Answer 4

So you have
\[g(x)=\sqrt{x+3}\]
And you want to find
g(-2)
So we will just replace x with -2 wherever there may be an x

Answer 5

Do you see that x under the radical being added by 3?
Replace that x with -2 since we want to evaluate g(-2)