Question

for the function $f(x) = \frac{8}{x + 5}$, find each of the following
(a) $f(p)$
$f(p) = \frac{8}{p + 5}$ (simplify your answer.)
(b) $f(-t)$
$f(-t) = \square$ (simplify your answer.)

Explanation:

Step1: Substitute \( x = -t \) into \( f(x) \)

The function is \( f(x)=\frac{8}{x + 5} \). When we substitute \( x=-t \), we get \( f(-t)=\frac{8}{-t + 5} \).

Step2: Simplify the expression

We can rewrite the denominator as \( 5 - t \), so \( f(-t)=\frac{8}{5 - t} \).

Answer:

\( \frac{8}{5 - t} \)