What is the inverse of the function f(x)=-6x-7 ? f^(-1)(x)=

Replace f(x) with y: To find the inverse of the function f(x) = -6x - 7, we first replace f(x) with y. So, we have y = -6x - 7. Swap x and y: Next, we swap x and y to find the inverse. This gives us x = -6y - 7. Solve for y: Now, we solve for y. We start by adding 7 to both sides of the equation to isolate the term with y. This gives us x + 7 = -6y. Divide both sides by -6: Next, we divide both sides of the equation by -6 to solve for y. This gives us y = (x + 7) / -6. Write the inverse function: The inverse function is then written as f^(-1)(x) = (x + 7) / -6.

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What is the inverse of the function
f(x)=-6x-7 ?

f^(-1)(x)=

What is the inverse of the function $\newline$ $f(x) = -6x - 7$ ? $\newline$ $f^{-1}(x) =$

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Find derivatives using the chain rule I

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Q. What is the inverse of the function

\newline

f(x) = -6x - 7

\newline

f^{-1}(x) =

Replace $f(x)$ with $y$ : To find the inverse of the function $f(x) = -6x - 7$ , we first replace $f(x)$ with $y$ . So, we have $y = -6x - 7$ .
Swap $x$ and $y$ : Next, we swap $x$ and $y$ to find the inverse. This gives us $x = -6y - 7$ .
Solve for y: Now, we solve for y. We start by adding $7$ to both sides of the equation to isolate the term with $y$ . This gives us $x + 7 = -6y$ .
Divide both sides by $-6$ : Next, we divide both sides of the equation by $-6$ to solve for $y$ . This gives us $y = \frac{x + 7}{-6}$ .
Write the inverse function: The inverse function is then written as $f^{-1}(x) = \frac{x + 7}{-6}$ .