Question

Help please my last tutor got it wrong thank you

Answer 1

In order to solve this, the first thing we have to do is to determine the value of g(-2), this is possible by evaluating -2 for x in g(x), like this:

g(-2) = 3(-2)²= 3×4 = 12

Now that we know the value of g(-2), we can determine the value of f(g(-2)) by evaluating g(-2) = 12 in f(x), like this:

f(g(-2)) = f(12) = 5(g(-2)) + 3 = 5(12) + 3 = 60 + 3 = 63

Then, f(g(-2)) = 63