Find the inverse of the function. y = x + 7 Write your answer in the form ax + b. Simplify any fractions. y = ______

Swap variables: To find the inverse of the function, we first swap the variables x and y. This means we replace every x with y and every y with x in the original equation. New function after swapping: x = y + 7Solve for y: Next, we need to solve the new equation for y. To do this, we subtract 7 from both sides of the equation to isolate y. x - 7 = y + 7 - 7 Simplifying the equation gives us x - 7 = y.Final inverse function: Now that we have isolated y, we have found the inverse function. Inverse function: y = x - 7

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Find the inverse of the function. $\newline$ $y = x + 7$ $\newline$ 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 + 7

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

y =

______

Swap variables: To find the inverse of the function, we first swap the variables $x$ and $y$ . This means we replace every $x$ with $y$ and every $y$ with $x$ in the original equation. $\newline$ New function after swapping: $x = y + 7$
Solve for y: Next, we need to solve the new equation for y. To do this, we subtract $7$ from both sides of the equation to isolate $y$ . $\newline$ $x - 7 = y + 7 - 7$ $\newline$ Simplifying the equation gives us $x - 7 = y$ .
Final inverse function: Now that we have isolated $y$ , we have found the inverse function. $\newline$ Inverse function: $y = x - 7$