2.7\nscore: 20/25 answered: 20/25\nquestion 21\nfind the difference quotient $\frac{f(x + h)-f(x)}{h},h\neq0$…
2.7\nscore: 20/25 answered: 20/25\nquestion 21\nfind the difference quotient $\frac{f(x + h)-f(x)}{h},h\neq0$, for the given function $f$.\nf(x)=4x + 1\nquestion help: video ebook
Answer
Explanation:
Step1: Find $f(x + h)$
Substitute $x+h$ into $f(x)$: $f(x + h)=4(x + h)+1=4x+4h + 1$
Step2: Calculate $f(x + h)-f(x)$
$f(x + h)-f(x)=(4x + 4h+1)-(4x + 1)=4x+4h + 1-4x - 1=4h$
Step3: Find the difference quotient
$\frac{f(x + h)-f(x)}{h}=\frac{4h}{h}=4$
Answer:
$4$