Question

Find the difference quotient and simplify your answer. f(x) = x2/3 + 7, (f(x) − f(8))/x − 8, x ≠ 8

Answer 1

i made it down to \[(x ^{2/3}-4)/x-8\] but need further help

Answer 2

\[f(8)=4+7=11........\frac{f(x)-f(8)}{x-8}=\frac{x^{2/3}+7-11}{x-8}=\frac{x^{2/3}-4}{x-8}\]

Answer 3

its (x+8)/3

Answer 4

\[\frac{(x^{1/3}-2)(x^{1/3}+2)}{(x^{1/3}-2)(x^{2/3}+2x^{1/3}+4)}\]

Answer 5

simplify and call it a day