What is the inverse of the function g(x)=5(x-2) ? g^(-1)(x)=

Concept of Inverse Function: Understand the concept of an inverse function. The inverse function g^(-1)(x) will undo the operation done by g(x). To find the inverse, we need to solve for x in terms of y where y = g(x).Writing the Function as an Equation: Write the function g(x) as an equation with y. Let y = g(x), so we have y = 5(x - 2).Swapping x and y: Swap x and y to begin finding the inverse function. We replace y with x and x with y to get x = 5(y - 2).Solving for y: Solve for y to find the inverse function. We need to isolate y on one side of the equation. Start by dividing both sides by 5. x/5 = y - 2Writing the Inverse Function: Continue solving for y. Add 2 to both sides of the equation to isolate y. x/5 + 2 = yWrite the inverse function. Now that we have y by itself, we can write the inverse function as g^(-1)(x) = x/5 + 2.

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What is the inverse of the function
g(x)=5(x-2) ?

g^(-1)(x)=

What is the inverse of the function $\newline$ $g(x)=5(x-2) ?$ $\newline$ $g^{-1}(x)=$

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Q. What is the inverse of the function

\newline

g(x)=5(x-2) ?

\newline

g^{-1}(x)=

Concept of Inverse Function: Understand the concept of an inverse function. $\newline$ The inverse function $g^{-1}(x)$ will undo the operation done by $g(x)$ . To find the inverse, we need to solve for $x$ in terms of $y$ where $y = g(x)$ .
Writing the Function as an Equation: Write the function $g(x)$ as an equation with $y$ . $\newline$ Let $y = g(x)$ , so we have $y = 5(x - 2)$ .
Swapping $x$ and $y$ : Swap $x$ and $y$ to begin finding the inverse function. $\newline$ We replace $y$ with $x$ and $x$ with $y$ to get $x = 5(y - 2)$ .
Solving for y: Solve for y to find the inverse function. $\newline$ We need to isolate y on one side of the equation. Start by dividing both sides by $5$ . $\newline$ $\frac{x}{5} = y - 2$
Writing the Inverse Function: Continue solving for $y$ . $\newline$ Add $2$ to both sides of the equation to isolate $y$ . $\newline$ $\frac{x}{5} + 2 = y$
Writing the Inverse Function: Continue solving for $y$ . $\newline$ Add $2$ to both sides of the equation to isolate $y$ . $\newline$ $\frac{x}{5} + 2 = y$ Write the inverse function. $\newline$ Now that we have $y$ by itself, we can write the inverse function as $g^{-1}(x) = \frac{x}{5} + 2$ .