Find the inverse of the function. y = 4x - 4 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 - 4.Solve for y: Next, we need to solve for y. To do this, we add 4 to both sides of the equation to isolate the term with y. This gives us x + 4 = 4y - 4 + 4.Isolate y term: Simplifying the equation, we get x + 4 = 4y. Now we have isolated the term with y on one side of the equation.Divide by 4: To solve for y, we divide both sides of the equation by 4. This gives us (x + 4) / 4 = 4y / 4.Final Inverse Function: Simplifying the fractions, we get y = (x + 4) / 4. This can also be written as y = x/4 + 1, which is the inverse function in the form ax + b.

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Find the inverse of the function. $\newline$ $y = 4x - 4$ $\newline$ 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 - 4

\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 $x = 4y - 4$ .
Solve for y: Next, we need to solve for y. To do this, we add $4$ to both sides of the equation to isolate the term with $y$ . This gives us $x + 4 = 4y - 4 + 4$ .
Isolate y term: Simplifying the equation, we get $x + 4 = 4y$ . Now we have isolated the term with $y$ on one side of the equation.
Divide by $4$ : To solve for $y$ , we divide both sides of the equation by $4$ . This gives us $(x + 4) / 4 = 4y / 4$ .
Final Inverse Function: Simplifying the fractions, we get $y = \frac{x + 4}{4}$ . This can also be written as $y = \frac{x}{4} + 1$ , which is the inverse function in the form $ax + b$ .