Question

for f(x)=1/x-5 and g(x)=x^2 + 2 substitute the value of g (x) into the function f(x) in place of x find the value of f(g(x))

Answer 1

Ok, so what's the problem?

U see the x in the first equation, replace it by x^2 + 2 simplify.

Answer 2

right so i got 1/x^2+2-5 can it be simplified farther than that?

Answer 3

f(g(x)) =
1/(g(x) - 5)

Now do the substitution for g(x) and simplify.

Answer 4

wait is f(x) like this:

\[f(x) = \frac{1}{x-5}\]

Or like this:
\[f(x) = \frac{1}{x}-5\]

Answer 5

the first option

Answer 6

Doesn't matter, whatever one, just replace the x.

Answer 7

Well it does matter because one can be simplified and the other cannot ;p

Answer 8

so is the answer 1/x^2-3?

Answer 9

So 1/(x^2-3).

Answer 10

So you said you got:

\[f(g(x)) = \frac{1}{x^2 +2 - 5}\]

Which I should hope you can see simplifies a little.

Answer 11

Right. Please use parens if you aren't going to use the latex for your fraction what you wrote isn't the same as what the answer is. (what estudier wrote)

Answer 12

thanks!

Answer 13

polpak is right about being clear, better to use brackets..