Question

I don't know what it's asking me? Did I get it right?

If f(x)=1/x+2 what is f(3+h)?

A. 1/h+5
B. 1/(x+2)(3+h)
C. 1/3+h
D. (3+h)/(x+2)

Is the answer supposed to be D?

Answer 1

What they are telling you to do there is to replace the x in your equation with 3+h. Like this:

Answer 2

If \[f(x)=\frac{ 1 }{ x+2 }\]replace the x with 3 + h, like this:

Answer 3

\[f(3+h)=\frac{ 1 }{ (3+h)+2 }\]

Answer 4

OR\[f(3+h)=\frac{ 1 }{ 3+h+2 }=\frac{ 1 }{ 5+h }\]

Answer 5

or, the same thing would be:\[\frac{ 1 }{ h+5 }\]

Answer 6

The answer is A.

Answer 7

@IMStuck Thank you so much. I understand it now :)