Find the inverse of the function. y = 4x + 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 = 4y + 9.Isolate y term: 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 = 4y.Divide by 4: Now, we divide both sides of the equation by 4 to solve for y. This gives us (x - 9) / 4 = y.Rewrite as inverse function: The equation (x - 9) / 4 = y can be rewritten as y = (1/4)x - (9/4). This is the inverse function in the form ax + b.

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Find the inverse of the function. $\newline$ $y = 4x + 9$ $\newline$ 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 = 4x + 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 $x = 4y + 9$ .
Isolate y term: 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 $x - 9 = 4y$ .
Divide by $4$ : Now, we divide both sides of the equation by $4$ to solve for $y$ . This gives us $\frac{x - 9}{4} = y$ .
Rewrite as inverse function: The equation $(x - 9) / 4 = y$ can be rewritten as $y = (1/4)x - (9/4)$ . This is the inverse function in the form $ax + b$ .