Find the inverse of the function. y = x + 6 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. New function after swapping: x = y + 6Solve for y: Next, we need to solve for y. To do this, we subtract 6 from both sides of the equation to isolate y. x - 6 = y + 6 - 6 Simplifying the equation gives us x - 6 = y.Find the Inverse Function: Now that we have isolated y, we have found the inverse function. Inverse function: y = x - 6

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Find the inverse of the function. $\newline$ $y = x + 6$ $\newline$ 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 + 6

\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. $\newline$ New function after swapping: $x = y + 6$
Solve for y: Next, we need to solve for $y$ . To do this, we subtract $6$ from both sides of the equation to isolate $y$ . $x - 6 = y + 6 - 6$ Simplifying the equation gives us $x - 6 = y$ .
Find the Inverse Function: Now that we have isolated $y$ , we have found the inverse function. $\newline$ Inverse function: $y = x - 6$