## boomzoom 3 years ago Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

1. lgbasallote

first what is g(2)?

2. boomzoom

???

3. lgbasallote

what do you mean "????"

4. boomzoom

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

5. Coda

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.

6. Coda

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

7. Wired

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

8. lgbasallote

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

9. boomzoom

oh ok

10. Wired

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

11. Wired

What did you get for g(2)?

12. boomzoom

-15

13. Wired

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

14. timo86m

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)