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koban [17]
3 years ago
8

Which of the following is the inverse of y = 2/3x + 1

Mathematics
2 answers:
Vesnalui [34]3 years ago
6 0

Answer:

Y=3/2x - 3/2

Step-by-step explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y

DochEvi [55]3 years ago
4 0

Answer:

x = \frac{3}{2}\cdot y - \frac{3}{2}

Step-by-step explanation:

The inverse of the linear function is found by algebraic manipulation:

y = \frac{2}{3}\cdot x + 1

y - 1 = \frac{2}{3}\cdot x

\frac{3}{2}\cdot (y-1) = x

x = \frac{3}{2}\cdot (y-1)

x = \frac{3}{2}\cdot y - \frac{3}{2}

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