Find the inverse function in slope-intercept form (mx+b) : f(x)=-2x+4 Answer: f^(-1)(x)=

Replace with y: To find the inverse function, we first replace f(x) with y to make the equation easier to work with. So, we have y = -2x + 4.Swap x and y: Next, we swap x and y to find the inverse function. This means we replace every x with y and every y with x. So, we get x = -2y + 4.Isolate y: Now, we need to solve for y to get it in the form y = mx + b, which is the slope-intercept form. First, we add 2y to both sides to start isolating y. This gives us x + 2y = 4.Subtract x: Next, we subtract x from both sides to continue isolating y. This gives us 2y = 4 - x.Divide by 2: Finally, we divide both sides by 2 to solve for y. This gives us y = (4 - x) / 2.Simplify equation: Simplify the equation to get it into slope-intercept form. This gives us y = -1/2 x + 2.

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

f(x)=-2x+4
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-2 x+4$ $\newline$ 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+4

\newline

Answer:

f^{-1}(x)=

Replace with $y$ : To find the inverse function, we first replace $f(x)$ with $y$ to make the equation easier to work with. $\newline$ So, we have $y = -2x + 4$ .
Swap $x$ and $y$ : Next, we swap $x$ and $y$ to find the inverse function. This means we replace every $x$ with $y$ and every $y$ with $x$ . So, we get $x = -2y + 4$ .
Isolate y: Now, we need to solve for y to get it in the form $y = mx + b$ , which is the slope-intercept form. $\newline$ First, we add $2y$ to both sides to start isolating y. $\newline$ This gives us $x + 2y = 4$ .
Subtract $x$ : Next, we subtract $x$ from both sides to continue isolating $y$ . This gives us $2y = 4 - x$ .
Divide by $2$ : Finally, we divide both sides by $2$ to solve for $y$ . This gives us $y = \frac{4 - x}{2}$ .
Simplify equation: Simplify the equation to get it into slope-intercept form. $\newline$ This gives us $y = -\frac{1}{2} x + 2$ .