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The problem asks for the function \( f \) and the number \( a \) for which the given limit represents the derivative \( f'(a) \).

We are given the limit:

\[
\lim_{x \to 5} \frac{2x - 32}{x - 5}
\]

We recognize that this limit is in the form of a derivative. The derivative of a function \( f(x) \) at \( x = a \) can be defined as:

\[
f'(a) = \lim_{x \to a} \frac{f(x

For what function f and number a is the limit lim(x → 5) (2x - 32)/(x - 5) the value of f'(a)?

Solve the limit problem lim(x → 5) (2x - 32)/(x - 5) and determine the corresponding function f and number a for which the limit represents the derivative f'(a). This problem explores key concepts in differential calculus and the definition of a derivative.

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