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

f(x)=-2x+6
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-2 x+6$ $\newline$ Answer: $f^{-1}(x)=$

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Find the vertex of the transformed function

Full solution

Q. Find the inverse function in slope-intercept form

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

:

\newline

f(x)=-2 x+6

\newline

Answer:

f^{-1}(x)=

Write function as equation: To find the inverse function, we first write the function as an equation with $y$ instead of $f(x)$ : $y = -2x + 6$
Swap x and y: Next, we swap x and y to find the inverse: $x = -2y + 6$
Solve for y: Now, we solve for y to get it in the form $y = mx + b$ , which is the slope-intercept form: $\newline$ $x - 6 = -2y$
Isolate $y$ : Divide both sides by $-2$ to isolate $y$ : $y = \frac{x - 6}{-2}$
Final inverse function: Simplify the equation to get the final inverse function: $y = -\frac{1}{2} x + 3$

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