What is the inverse of the function f(x)=3x-2 ? f^(-1)(x)=

Replace f(x) with y: To find the inverse of the function f(x) = 3x - 2, we first replace f(x) with y. So, we have y = 3x - 2. Swap x and y: Next, we swap x and y to find the inverse. This gives us x = 3y - 2. Solve for y: Now, we solve for y to get the inverse function. Add 2 to both sides of the equation to isolate the term with y. This gives us x + 2 = 3y. Divide by 3: Divide both sides of the equation by 3 to solve for y. This gives us y = (x + 2) / 3. Replace y with f^(-1)(x): Replace y with f^(-1)(x) to denote the inverse function. So, the inverse function is f^(-1)(x) = (x + 2) / 3.

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What is the inverse of the function
f(x)=3x-2 ?

f^(-1)(x)=

What is the inverse of the function $\newline$ $f(x)=3x-2 ?$ $\newline$ $f^{-1}(x)=$

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Q. What is the inverse of the function

\newline

f(x)=3x-2 ?

\newline

f^{-1}(x)=

Replace $f(x)$ with $y$ : To find the inverse of the function $f(x) = 3x - 2$ , we first replace $f(x)$ with $y$ . So, we have $y = 3x - 2$ .
Swap $x$ and $y$ : Next, we swap $x$ and $y$ to find the inverse. This gives us $x = 3y - 2$ .
Solve for y: Now, we solve for y to get the inverse function. Add $2$ to both sides of the equation to isolate the term with y. This gives us $x + 2 = 3y$ .
Divide by $3$ : Divide both sides of the equation by $3$ to solve for y. This gives us $y = \frac{x + 2}{3}$ .
Replace $y$ with $f^{-1}(x)$ : Replace $y$ with $f^{-1}(x)$ to denote the inverse function. So, the inverse function is $f^{-1}(x) = \frac{x + 2}{3}$ .