Question

for f(x)=1/x-5 and g(x)=x^2+2 find:

Answer 1

1. (f o g)(x)

Answer 2

You have written 1/x-5 = \(\dfrac{1}{x}-5\)

Is this as you intended?

Answer 3

The x-5 is together, so it would be \[\frac{ 1 }{ x-5 }\]

Answer 4

Parentheses will help: 1/(x-5)

What is f(2)?

Answer 5

Enclosing your x=5 in parentheses would remove the ambiguity. This is important in the long run, as it saves everyone time and effort when no clarification is needed.

Answer 6

I just realized I used the wrong problem I was having trouble with,

The one I needed help with was f(x) = 1/(x-5) and g(x) = x^2+2: find (g o f)(6)

Answer 7

(f o g)(6) = f(g(6))

It looks like you need g(6).

Answer 8

This is how to problem is laid out, I'm just not too sure what to do. i keep thinking to plug my 6 into the equation for X, but I don't think that's the right way to go about it

Answer 9

This is like, my first time seeing this stuff, so I'm a little lost is all

Answer 10

In that case, you need g(6). Go! What do you get for g(6)?

Answer 11

38?

Answer 12

Perfect. What do you get for f(g(6)) = f(38)?

Answer 13

Do I plug the 38 into 1/(x-5)?

Answer 14

That's what f(38) is. Go!