Question

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Answer 1

first what is g(2)?

Answer 2

???

Answer 3

what do you mean "????"

Answer 4

your question said what is g(2) that how the poblem was given

Answer 5

First you must find g(2) by putting into the equation for g(2). Then you would take the step as to put what g(2) = into the f(x) equation.

Answer 6

By putting 2 into the equation for g, excuse me. Its a multi-step equation.

Answer 7

When you see g(2), that means solve g(x) where x = 2.
\[\Large g(x) = x^{2}-6x-7\]
\[\Large g(2) = 2^{2}-(6*2)-7= ?\]

Answer 8

f(g(2) ) means you find g(2) then substitute that to x in f(g(2) )

Answer 9

oh ok

Answer 10

Note: Alternatively you could solve it all at once (but that may confusing right off the bat):
\[\Large f(g(2)) = (x^{2}-6x-7)+8 = x^{2}-6x+1\]

Answer 11

What did you get for g(2)?

Answer 12

-15

Answer 13

Correct.
Since g(2)=-15, that means f(g(2)) = f(-15).
\[\Large f(x) = x+8\]
\[\Large f(-15) = -15+8 = ?\]

Answer 14

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
first find g(2) then once you find that

plug that to f(x)