Find the inverse of the function. y = x + 1 Write your answer in the form ax + b. Simplify any fractions. y = ______

Swap variables x and y: To find the inverse of the function, we first swap the variables x and y. This means we replace every x with a y and every y with an x. New function after swapping: x = y + 1Solve for y: Next, we need to solve the new function for y. To do this, we subtract 1 from both sides of the equation to isolate y. x - 1 = y + 1 - 1 Simplifying this, we get x - 1 = y.Find inverse function: Now that we have isolated y, we have found the inverse function. Inverse function: y = x - 1

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Find the inverse of the function. $\newline$ $y = x + 1$ $\newline$ Write your answer in the form $ax + b$ . Simplify any fractions. $\newline$ $y = \underline{\hspace{2cm}}$

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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 + 1

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

y = \underline{\hspace{2cm}}

Swap variables $x$ and $y$ : To find the inverse of the function, we first swap the variables $x$ and $y$ . This means we replace every $x$ with a $y$ and every $y$ with an $x$ . $\newline$ New function after swapping: $x = y + 1$
Solve for y: Next, we need to solve the new function for y. To do this, we subtract $1$ from both sides of the equation to isolate $y$ . $\newline$ $x - 1 = y + 1 - 1$ $\newline$ Simplifying this, we get $x - 1 = y$ .
Find inverse function: Now that we have isolated $y$ , we have found the inverse function. $\newline$ Inverse function: $y = x - 1$