What is the inverse of the function g(x)=-2(x-4)? g^(-1)(x)=

Replace g(x) with y: To find the inverse of the function g(x) = -2(x - 4), we first replace g(x) with y to make the equation easier to manipulate. So we have y = -2(x - 4). Swap x and y: Next, we swap x and y to find the inverse. This gives us x = -2(y - 4). Solve for y: Now, we solve for y. Start by dividing both sides by -2 to isolate the term with y. This gives us x / -2 = y - 4. Add 4 to both sides: Next, add 4 to both sides to solve for y. This gives us y = x / -2 + 4. Inverse function expression: The expression we have now represents the inverse function. So, g^(-1)(x) = x / -2 + 4.

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What is the inverse of the function

g(x)=-2(x-4)?

g^(-1)(x)=

What is the inverse of the function $\newline$ $g(x)=-2(x-4)?$ $\newline$ $g^{-1}(x)=$

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Find derivatives using the chain rule I

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Q. What is the inverse of the function

\newline

g(x)=-2(x-4)?

\newline

g^{-1}(x)=

Replace $g(x)$ with $y$ : To find the inverse of the function $g(x) = -2(x - 4)$ , we first replace $g(x)$ with $y$ to make the equation easier to manipulate. So we have $y = -2(x - 4)$ .
Swap $x$ and $y$ : Next, we swap $x$ and $y$ to find the inverse. This gives us $x = -2(y - 4)$ .
Solve for y: Now, we solve for y. Start by dividing both sides by $-2$ to isolate the term with y. This gives us $\frac{x}{-2} = y - 4$ .
Add $4$ to both sides: Next, add $4$ to both sides to solve for $y$ . This gives us $y = \frac{x}{-2} + 4$ .
Inverse function expression: The expression we have now represents the inverse function. So, $g^{-1}(x) = \frac{x}{-2} + 4$ .