Question

(FOG)(X)
f(x)= x^2+2x and g(x)= 1/x

Answer 1

do you mean (f o g)(x)?

Answer 2

yes

Answer 3

that means you substitute g(x) into EVERY x of f(x)...so what is your g(x)?

Answer 4

1/x

Answer 5

(1/x)^2 + 2(1/x)

Answer 6

that's right..simplify

Answer 7

1/(x^2) + 2/x ?

Answer 8

good there you go...are you tasked to combine it?

Answer 9

nope.. Don't think so it just says "find (f o g)(x)?"

Answer 10

well that's your answer then...if you want you can combine it to be safe..use x^2 as LCD

\[\frac{1}{x} + \frac{2x}{x^2} = \frac{1 + 2x}{x^2}\]

Answer 11

the first term is supposed to be \(\large \frac{1}{x^2}\)

Answer 12

Thank you!