Question

Let f(x) = x^2 + 6 and g(x) = ((x+8)/(x)) Find (g of f)(-7)

Answer 1

(g of f)(-7) => g(f(-7)), start off by solving for g(f(x)) :)

Answer 2

-((55)/(7))

((384)/(7))

((295)/(49))

((63)/(55))

These are the given answers and I believe it's ((384)/(7))

Answer 3

What is g(f(x)) or (g of f)(x)?

Answer 4

hum, I'm not sure.

Answer 5

It just means plug in f(x) where ever there is an x in g(x) :P

Answer 6

I was doing this earlier but I've been working a bunch of other problems so I came back to it and am a bit lost. oh okay thank you. hum

Answer 7

g(x^2 + 6 = ((x+8)/(x))

Answer 8

\[g(f(x)) \implies \frac{ (x^2+6)+8 }{ (x^2+6) }\]

Answer 9

Does that make sense?

Answer 10

ohhh I see you're just combining them

Answer 11

Plugging f(x) into g(x)

Answer 12

yea okay. So then from there I just times that by -7?

Answer 13

Yes, plug in -7 into the x's :)