Question

for the given function, find \\(\frac{f(x + h) - f(x)}{h}\\)\\(f(x) = 38 - 17x\\)\\(\frac{f(x + h) - f(x)}{h} = \square\\) (simplify your answer.)

Explanation:

Step1: Compute \(f(x+h)\)

\(f(x+h) = 38 - 17(x+h) = 38 - 17x - 17h\)

Step2: Calculate \(f(x+h)-f(x)\)

\((38 - 17x -17h) - (38 -17x) = -17h\)

Step3: Divide by \(h\)

\(\frac{-17h}{h} = -17\) (since \(h
eq 0\))

Answer:

-17