"How do you find the inverse of y=(−12)x+7?" was answered by students like you

Stacie Worsley Answered2021-12-26

How do you find the inverse of

y = (- \frac{1}{2}) 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 = (- \frac{1}{2}) y + 7

And solve for y:

x = (- \frac{1}{2}) y + 7

(subtract 7 from both sides)

x - 7 = (- \frac{1}{2}) y

(multiply by 7 both sides)

2 (x - 7) = y

y = 2 x - 14

To write that this equation is the inverse of the original one, we write the expression as

y^{- 1} = 2 x - 14

recoronarrv

Expert

2021-12-28Added 20 answers

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

karton

Expert

2021-12-30Added 439 answers

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