Questions: The function h(x)=1/(x+8) can be expressed in the form f(g(x)), where g(x)=(x+8), and f(x) is defined as: f(x)=

Solution Steps

The given function is \( h(x) = \frac{1}{x + 8} \). It needs to be expressed in the form \( f(g(x)) \), where \( g(x) = x + 8 \).

We are given \( g(x) = x + 8 \).

Since \( g(x) = x + 8 \), we can substitute \( g(x) \) into \( h(x) \): \[ h(x) = \frac{1}{x + 8} = \frac{1}{g(x)} \]

From the expression \( h(x) = \frac{1}{g(x)} \), we can see that \( f(x) = \frac{1}{x} \).

Final Answer