Find the inverse function in slope-intercept form (mx+b) : f(x)=2x+2 Answer: f^(-1)(x)=

Write function as y = 2x + 2: To find the inverse function, we first write the function as y = 2x + 2, where y is the output and x is the input.Swap x and y: Next, we swap the roles of x and y to find the inverse. This means we replace y with x and x with y, giving us x = 2y + 2.Solve for y: Now, we need to solve for y to get the inverse function in slope-intercept form (y = mx + b). Subtract 2 from both sides to isolate the term with y on one side: x - 2 = 2y.Divide by 2: Divide both sides by 2 to solve for y: (x - 2) / 2 = y.Simplify to slope-intercept form: Simplify the equation to get the inverse function in slope-intercept form: y = (1/2)x - 1.

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Find the inverse function in slope-intercept form
(mx+b) :

f(x)=2x+2
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=2 x+2$ $\newline$ Answer: $f^{-1}(x)=$

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Algebra 2

Find the vertex of the transformed function

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Q. Find the inverse function in slope-intercept form

(\mathrm{mx}+\mathrm{b})

\newline

f(x)=2 x+2

\newline

Answer:

f^{-1}(x)=

Write function as $y = 2x + 2$ : To find the inverse function, we first write the function as $y = 2x + 2$ , where $y$ is the output and $x$ is the input.
Swap $x$ and $y$ : Next, we swap the roles of $x$ and $y$ to find the inverse. This means we replace $y$ with $x$ and $x$ with $y$ , giving us $x = 2y + 2$ .
Solve for y: Now, we need to solve for $y$ to get the inverse function in slope-intercept form ( $y = mx + b$ ). Subtract $2$ from both sides to isolate the term with $y$ on one side: $x - 2 = 2y$ .
Divide by $2$ : Divide both sides by $2$ to solve for y: $(x - 2) / 2 = y$ .
Simplify to slope-intercept form: Simplify the equation to get the inverse function in slope-intercept form: $y = \frac{1}{2}x - 1$ .