Question

Plato combining functions mastery test please help

Answer 1

Answer:

Choice: B.

Step-by-step explanation:

Operations With Functions

Given the functions:

$f(x)=\sqrt[3]{12x+1}+4$

$g(x)=\log(x-3)+6$

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

$(g-f)(x)= g(x) - f(x)$

$(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)$

Operating:

$(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4$

Joining like terms:

$\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}$

Choice: B.

Answer 2

Answer:

Choice: B.

Step-by-step explanation: