question 11 of 17, step 1 of 1 given the following function, determine the difference quotient, (f(x +…
question 11 of 17, step 1 of 1 given the following function, determine the difference quotient, (f(x + h)-f(x))/h. f(x)=5x - 1 answer
Answer
Explanation:
Step1: Find $f(x + h)$
Substitute $x+h$ into $f(x)$: $f(x + h)=5(x + h)-1=5x+5h - 1$.
Step2: Calculate $f(x + h)-f(x)$
$f(x + h)-f(x)=(5x + 5h-1)-(5x - 1)=5x+5h - 1-5x + 1=5h$.
Step3: Compute the difference - quotient
$\frac{f(x + h)-f(x)}{h}=\frac{5h}{h}=5$.
Answer:
$5$