Find the inverse of the function. y = 5x + 9 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 gives us the equation x = 5y + 9.Solve for y: Next, we need to solve for y. To do this, we subtract 9 from both sides of the equation to isolate the term with y. This gives us x - 9 = 5y + 9 - 9.Isolate y: Simplifying the equation, we get x - 9 = 5y. Now we need to isolate y by dividing both sides of the equation by 5. This gives us (x - 9) / 5 = y.Final Inverse Function: The equation (x - 9) / 5 = y is now solved for y, and it represents the inverse function. We can write this in the form y = ax + b by expressing it as y = (1/5)x - 9/5.

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Find the inverse of the function. $\newline$ $y = 5x + 9$ $\newline$ 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 = 5x + 9

\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 gives us the equation $x = 5y + 9$ .
Solve for $y$ : Next, we need to solve for $y$ . To do this, we subtract $9$ from both sides of the equation to isolate the term with $y$ . This gives us $x - 9 = 5y + 9 - 9$ .
Isolate y: Simplifying the equation, we get $x - 9 = 5y$ . Now we need to isolate $y$ by dividing both sides of the equation by $5$ . This gives us $(x - 9) / 5 = y$ .
Final Inverse Function: The equation $(x - 9) / 5 = y$ is now solved for $y$ , and it represents the inverse function. We can write this in the form $y = ax + b$ by expressing it as $y = (1/5)x - 9/5$ .