Question

question 2 of 5
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what is the inverse of function f?
$f(x) = -7x - 4$
$f^{-1}(x) =$

Explanation:

Step1: Replace $f(x)$ with $y$

$y = -7x - 4$

Step2: Swap $x$ and $y$

$x = -7y - 4$

Step3: Solve for $y$, isolate term with $y$

$x + 4 = -7y$

Step4: Solve for $y$, divide by $-7$

$y = \frac{x + 4}{-7} = -\frac{x + 4}{7}$

Step5: Replace $y$ with $f^{-1}(x)$

$f^{-1}(x) = -\frac{x + 4}{7}$

Answer:

$-\frac{x + 4}{7}$