Find the inverse of the function. y = 2x - 5 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 = 2y - 5.Solve for y: Next, we need to solve for y. To do this, we add 5 to both sides of the equation to isolate terms with y on one side. This results in x + 5 = 2y.Divide by 2: Now, we divide both sides of the equation by 2 to solve for y. This gives us (x + 5) / 2 = y.Final Inverse Function: The equation (x + 5) / 2 = y is the inverse function in the form y = (1/2)x + 5/2. Since there are no fractions to simplify further, this is the final form of the inverse function.

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Find the inverse of the function. $\newline$ $y = 2x - 5$ $\newline$ 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 = 2x - 5

\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 $x = 2y - 5$ .
Solve for y: Next, we need to solve for y. To do this, we add $5$ to both sides of the equation to isolate terms with $y$ on one side. This results in $x + 5 = 2y$ .
Divide by $2$ : Now, we divide both sides of the equation by $2$ to solve for $y$ . This gives us $(x + 5) / 2 = y$ .
Final Inverse Function: The equation $(x + 5) / 2 = y$ is the inverse function in the form $y = (1/2)x + 5/2$ . Since there are no fractions to simplify further, this is the final form of the inverse function.