Find the inverse of the function. y = x + 2 Write your answer in the form ax + b. Simplify any fractions. y = ______

Swap x and y: To find the inverse of the function, we first swap x and y. This means we replace y with x and x with y in the original equation. Original function: y = x + 2 Swapped function: x = y + 2Solve for y: Next, we need to solve the swapped function for y. To do this, we subtract 2 from both sides of the equation to isolate y. Calculation: x - 2 = y + 2 - 2 Simplified equation: x - 2 = yFinal Inverse Function: Now that we have isolated y, we have found the inverse function. Inverse function: y = x - 2

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Find the inverse of the function. $\newline$ $y = x + 2$ $\newline$ Write your answer in the form $ax + b$ . Simplify any fractions. $\newline$ $y =$ ______

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Algebra 1

Find the inverse of a linear function

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Q. Find the inverse of the function.

\newline

y = x + 2

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

y =

______

Swap x and y: To find the inverse of the function, we first swap $x$ and $y$ . This means we replace $y$ with $x$ and $x$ with $y$ in the original equation. $\newline$ Original function: $y = x + 2$ $\newline$ Swapped function: $x = y + 2$
Solve for y: Next, we need to solve the swapped function for y. To do this, we subtract $2$ from both sides of the equation to isolate $y$ . $\newline$ Calculation: $x - 2 = y + 2 - 2$ $\newline$ Simplified equation: $x - 2 = y$
Final Inverse Function: Now that we have isolated $y$ , we have found the inverse function. $\newline$ Inverse function: $y = x - 2$