For the function f(x)=7(x-6), find f^(-1)(x). f^(-1)(x)=7(x+6) f^(-1)(x)=(x)/(7)-6 f^(-1)(x)=((x-6))/(7) f^(-1)(x)=(x)/(7)+6

Swap x and y: Swap x and y to begin finding the inverse function. x = 7(y - 6)Solve for y: Solve the equation for y to find the inverse function. x = 7y - 42Add 42: Add 42 to both sides of the equation to isolate the term with y. x + 42 = 7yDivide by 7: Divide both sides of the equation by 7 to solve for y. y = (x + 42) / 7Replace with f^(-1)(x): Replace y with f^(-1)(x) to denote the inverse function. f^(-1)(x) = (x + 42) / 7

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For the function
f(x)=7(x-6), find
f^(-1)(x).

f^(-1)(x)=7(x+6)

f^(-1)(x)=(x)/(7)-6

f^(-1)(x)=((x-6))/(7)

f^(-1)(x)=(x)/(7)+6

For the function $f(x)=7(x-6)$ , find $f^{-1}(x)$ . $\newline$ $f^{-1}(x)=7(x+6)$ $\newline$ $f^{-1}(x)=\frac{x}{7}-6$ $\newline$ $f^{-1}(x)=\frac{(x-6)}{7}$ $\newline$ $f^{-1}(x)=\frac{x}{7}+6$

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Calculus

Find derivatives of using multiple formulae

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Q. For the function

f(x)=7(x-6)

, find

f^{-1}(x)

\newline

f^{-1}(x)=7(x+6)

\newline

f^{-1}(x)=\frac{x}{7}-6

\newline

f^{-1}(x)=\frac{(x-6)}{7}

\newline

f^{-1}(x)=\frac{x}{7}+6

Swap x and y: Swap $x$ and $y$ to begin finding the inverse function. $x = 7(y - 6)$
Solve for y: Solve the equation for y to find the inverse function. $x = 7y - 42$
Add $42$ : Add $42$ to both sides of the equation to isolate the term with $y$ . $\newline$ $x + 42 = 7y$
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $y$ . $y = \frac{x + 42}{7}$
Replace with $f^{-1}(x)$ : Replace $y$ with $f^{-1}(x)$ to denote the inverse function. $\newline$ $f^{-1}(x) = \frac{x + 42}{7}$