what is the inverse of the function f(x) = 4x + 8?\n○ h(x) = \\frac{1}{4}x - 2\n○ h(x) = \\frac{1}{4}x +…

what is the inverse of the function f(x) = 4x + 8?\n○ h(x) = \\frac{1}{4}x - 2\n○ h(x) = \\frac{1}{4}x + 2\n○ h(x) = \\frac{1}{2}x - 2\n○ h(x) = \\frac{1}{2}x + 2

what is the inverse of the function f(x) = 4x + 8?\n○ h(x) = \\frac{1}{4}x - 2\n○ h(x) = \\frac{1}{4}x + 2\n○ h(x) = \\frac{1}{2}x - 2\n○ h(x) = \\frac{1}{2}x + 2

Answer

Explanation:

Step1: Set $y = f(x)$

$y = 4x+8$

Step2: Swap $x$ and $y$

$x = 4y + 8$

Step3: Solve for $y$

First, subtract 8 from both sides: $x - 8=4y$. Then divide both sides by 4: $y=\frac{1}{4}x - 2$.

Answer:

A. $h(x)=\frac{1}{4}x - 2$