More Algebra 2 help?

Question

please explain to me the method used to find the solution to the problem below. it would be greatly appreciated.

If:
f(x) = x^2 -5
g(x) = 4x + 1

Then:
f [g(2)] = ?

Answer 1

This is a composite function. You are being asked to evaluate the function g at 2 and take the result and evaluate the function f using your first result.

g(2) = 4(2) + 1 = 9

f(g(2)) = f(9) = (9)^2 - 5 = 81 - 5

f(g(2)) = 76

Answer 2

First find the value of g(2):

g(2) = 4*2 + 1 = 9

Then find the value of f(9):

9^2 - 5 = 81 - 5 = 76

f(g(2)) = f(9) if g(2) = 9

Remember if given an expression in x of f(x), then f(anything) is that expression when you replace x by "anything".

Answer 3

plug 2 for g(x)

g(2) = 4(2) + 1
g(2) = 8 + 1
g(2) = 9

now plug 9 for f(x)
f(g(2)) = 9^2 - 5
= 81 - 5
= 76

Answer 4

g(2): 4(2) +1
8+1
g(2): 9

f(9): (9)^2 -5
81-5
f(9): 76

Therefore: f[g(2)] equals 76

BTW, sorry if this is wrong, I haven't answered math on Yahoo Answers a lot

Answer 5

substitue 2 in for x in the equasion g(x), solve...
whatever the answer is (9)
put 9 into f(x) and solve (76)
final anwser is 76