Stacie Worsley

Answered

2021-12-26

How do you find the inverse of $y=\left(-\frac{1}{2}\right)x+7$?

Answer & Explanation

turtletalk75

Expert

2021-12-27Added 29 answers

Explanation:
To find the inverse of an equation, we switch x and y:
$x=\left(-\frac{1}{2}\right)y+7$
And solve for y:
$x=\left(-\frac{1}{2}\right)y+7$ (subtract 7 from both sides)
$x-7=\left(-\frac{1}{2}\right)y$ (multiply by 7 both sides)
$2\left(x-7\right)=y$
$y=2x-14$
To write that this equation is the inverse of the original one, we write the expression as ${y}^{-1}=2x-14$

recoronarrv

Expert

2021-12-28Added 20 answers

Solve for y
$y=-2x+14$
Replace y with ${f}^{-1}\left(x\right)$ to show the final answer
${f}^{-1}\left(x\right)=-2x+14$
Verify if ${f}^{-1}\left(x\right)=-2x+14$ is the inverse of $f\left(x\right)=\left(-\frac{1}{2}\right)x+7$
${f}^{-1}\left(x\right)=-2x+14$

karton

Expert

2021-12-30Added 439 answers

Can someone graph this function?

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