If f(x)=1/(x+2), what is f(3+h)?
A. 1/(3+h)
B. 1/(h+5)
C. 1/(x+2)(3+h)
D. (3+h)(x+2)
so in f(x) = 1/(x+2) you are replacing x with 3+h
so
f(3+h) = 1/(3+h + 2)
= 1/(h+5)
okay, thanks!
To find f(3+h), we substitute 3+h into the function f(x) = 1/(x+2) in place of x.
So, replacing x with 3+h in the function, we get:
f(3+h) = 1/((3+h)+2)
Simplifying the expression inside the parentheses:
f(3+h) = 1/(5+h)
Therefore, the answer is A. 1/(3+h).