Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 14, 2023

Find $f(3+h)$ when $f(x) = \frac{1}{x+2}$ .

STEP 1

Assumptions1. The function is given as $f(x)=\frac{1}{x+}$ . We need to find the value of the function at $f(3+h)$

STEP 2

To find the value of the function at $f(+h)$ , we substitute $x$ with $+h$ in the given function.
$f(+h) = \frac{1}{(+h)+2}$

STEP 3

implify the denominator.
$f(3+h) = \frac{1}{h+5}$ So, the correct answer is C. $\frac{1}{h+5}$ .

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