Question

Let f(x)=x^2+6 and g(x)= x+8/x. find ( g o f)(-7)
A: -55/7
B: 384/7
C: 295/49
D: 63/55

Answer 1

\[(g º f)(x) \implies g(f(x))\]

Answer 2

I cant see what you type out, it looks like \[(g º f)(x) \implies g(f(x))\].. my open study is acting up lol

Answer 3

@agent0smith

Answer 4

Find f(-7) first.

Then we'll find g(f(-7))

Answer 5

f(x)=x^2+6

f(-7) means plug in -7 for x

Answer 6

-43

Answer 7

You're forgetting something, when you squared -7.

f(-7)=(-7)^2+6

Answer 8

55?

Answer 9

Good, now

g(f(-7)) = g(55) = ?

Answer 10

g(x)= x+8/x
so
g(55)
means plug in 55.

Answer 11

3033/55 ?

Answer 12

8/x a fraction or division ?

Answer 13

g(x)= x + 8/x
OR
g(x)= (x+8)/x

which is it?

Answer 14

its a fraction on my paper g(x)= (x+8)/x

Answer 15

g(55)= (55+8)/55

Answer 16

Now just simplify the numerator.