What is the inverse of f(x)=2x+3sqrt(5-x) ?

The inverse of f(x)=2x+3sqrt(5-x) is (4x-9+3sqrt(-8x+89))/8 ,(4x-9-3sqrt(-8x+89))/8

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inverse of f(x)=2x+3sqrt(5-x)

inverse

f (x) = 2 x + 3 5 - x

\frac{4 x - 9 + 3 - 8 x + 89}{8}, \frac{4 x - 9 - 3 - 8 x + 89}{8}

Solution steps

y = 2 x + 3 5 - x

Replace

x

with

y

x = 2 y + 3 5 - y

Solve for

y, x = 2 y + 3 5 - y

\frac{4 x - 9 + 3 - 8 x + 89}{8}, \frac{4 x - 9 - 3 - 8 x + 89}{8}

y = 175 - 4 x

f (x) = 4 (2)^{x}

f (x) = e^{x + 2} + 1

\frac{d}{d} - 2 x + 3

f (x) = \frac{1}{x - 4}

What is the inverse of f(x)=2x+3sqrt(5-x) ?
The inverse of f(x)=2x+3sqrt(5-x) is (4x-9+3sqrt(-8x+89))/8 ,(4x-9-3sqrt(-8x+89))/8