Find the inverse function in slope-intercept form (mx+b) : f(x)=-(3)/(2)x+9 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. y = -(3/2)x + 9Swap x and y: Next, we swap x and y to find the inverse function. This means we replace y with x and x with y in the equation. x = -(3/2)y + 9Solve for y: Now, we need to solve for y to get the inverse function in slope-intercept form (y = mx + b). First, we'll move the term involving y to one side and the constant to the other side. (3/2)y = -x + 9Isolate y: To isolate y, we divide both sides of the equation by (3/2), which is the same as multiplying by the reciprocal, 2/3. y = (-2/3)x + (2/3)*9Simplify constant term: Simplify the constant term (2/3)*9 to get the final inverse function. y = (-2/3)x + 6

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

f(x)=-(3)/(2)x+9
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-\frac{3}{2} x+9$ $\newline$ 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)=-\frac{3}{2} x+9

\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. $\newline$ $y = -\left(\frac{3}{2}\right)x + 9$
Swap x and y: Next, we swap x and y to find the inverse function. This means we replace $y$ with $x$ and $x$ with $y$ in the equation. $x = -\left(\frac{3}{2}\right)y + 9$
Solve for y: Now, we need to solve for y to get the inverse function in slope-intercept form $y = mx + b$ . First, we'll move the term involving $y$ to one side and the constant to the other side. $\newline$ $\frac{3}{2}y = -x + 9$
Isolate y: To isolate y, we divide both sides of the equation by $(\frac{3}{2})$ , which is the same as multiplying by the reciprocal, $\frac{2}{3}$ . $\newline$ $y = \left(-\frac{2}{3}\right)x + \left(\frac{2}{3}\right)\cdot 9$
Simplify constant term: Simplify the constant term $(\frac{2}{3})\cdot 9$ to get the final inverse function. $y = \left(-\frac{2}{3}\right)x + 6$