Question

Let f(x) = x + 8 and g(x) = x^2 – 6x – 7. Find f(g(2))

Answer 1

The notation f(g(2)) means that for every x in f(x), we replace it with g(2). This means we need to compute g(2) first, which is achieved by substituting 2 for every x in g(x).

\[g(x) = x^2 - 6x -7\]
\[g(2) = 2^2 - 6(2) -7\]
\[g(2) = 4-12-7\]

From this we see that g(2) is equal to -15, and we replace every x in f(x) with -15.

\[f(x) = x+8\]
\[f(g(2)) = f(-15) = -15 +8\]
Therefore, f(g(2)) is equal to -7

Answer 2

thank you :)

Answer 3

You're welcome. Good luck with the rest of of your assignment.