What is the inverse of 2x-3sqrt(x) ?

The inverse of 2x-3sqrt(x) is (4x+9+3sqrt(8x+9))/8 ,(4x+9-3sqrt(8x+9))/8

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inverse of 2x-3sqrt(x)

inverse

2 x - 3 x

\frac{4 x + 9 + 3 8 x + 9}{8}, \frac{4 x + 9 - 3 8 x + 9}{8}

Solution steps

y = 2 x - 3 x

Replace

x

with

y

x = 2 y - 3 y

Solve for

y, x = 2 y - 3 y

\frac{4 x + 9 + 3 8 x + 9}{8}, \frac{4 x + 9 - 3 8 x + 9}{8}

What is the inverse of 2x-3sqrt(x) ?
The inverse of 2x-3sqrt(x) is (4x+9+3sqrt(8x+9))/8 ,(4x+9-3sqrt(8x+9))/8