Find the inverse of the function. y = 3x + 8 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 = 3y + 8.Solve for y: Next, we need to solve for y. To do this, we subtract 8 from both sides of the equation to isolate the term with y. This gives us x - 8 = 3y.Divide by 3: Now, we divide both sides of the equation by 3 to solve for y. This results in y = (x - 8) / 3.Simplify the equation: Finally, we simplify the equation to match the requested form ax + b. Since dividing by 3 is the same as multiplying by 1/3, we can rewrite the equation as y = (1/3)x - 8/3.

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Find the inverse of the function. $\newline$ $y = 3x + 8$ $\newline$ 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 = 3x + 8

\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 $x = 3y + 8$ .
Solve for $y$ : Next, we need to solve for $y$ . To do this, we subtract $8$ from both sides of the equation to isolate the term with $y$ . This gives us $x - 8 = 3y$ .
Divide by $3$ : Now, we divide both sides of the equation by $3$ to solve for $y$ . This results in $y = \frac{x - 8}{3}$ .
Simplify the equation: Finally, we simplify the equation to match the requested form $ax + b$ . Since dividing by $3$ is the same as multiplying by $1/3$ , we can rewrite the equation as $y = (1/3)x - 8/3$ .