select the correct answer. what is the inverse of function f? f(x) = \\frac{3 - x}{7} a. f^{-1}(x) = 3 - 7x…

select the correct answer. what is the inverse of function f? f(x) = \\frac{3 - x}{7} a. f^{-1}(x) = 3 - 7x b. f^{-1}(x) = \\frac{7 + x}{3} c. f^{-1}(x) = 7x - 3 d. f^{-1}(x) = 3 - \\frac{x}{7}

select the correct answer. what is the inverse of function f? f(x) = \\frac{3 - x}{7} a. f^{-1}(x) = 3 - 7x b. f^{-1}(x) = \\frac{7 + x}{3} c. f^{-1}(x) = 7x - 3 d. f^{-1}(x) = 3 - \\frac{x}{7}

Answer

Explanation:

Step1: Let $y = f(x)$

$y=\frac{3 - x}{7}$

Step2: Solve for $x$ in terms of $y$

$7y=3 - x$, then $x = 3-7y$

Step3: Replace $y$ with $x$ for the inverse - function

$f^{-1}(x)=3 - 7x$

Answer:

A. $f^{-1}(x)=3 - 7x$