What is the inverse of f(x)=(5x+2)/(3x-8) ?

The inverse of f(x)=(5x+2)/(3x-8) is (2+8x)/(3x-5)

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inverse of f(x)=(5x+2)/(3x-8)

inverse

f (x) = \frac{5 x + 2}{3 x - 8}

\frac{2 + 8 x}{3 x - 5}

Solution steps

y = \frac{5 x + 2}{3 x - 8}

Replace

x

with

y

x = \frac{5 y + 2}{3 y - 8}

Solve for

y, x = \frac{5 y + 2}{3 y - 8}

\frac{2 + 8 x}{3 x - 5}

f (x) = 30.931 \cdot e^{0.0272 x}

f (x) = \frac{4 - x}{x - 10}

f (x) = 6 x + 8 - 5, x \geq - 8

y = 6 (x^{- \frac{1}{4}})

f (x) = \frac{5 x - 1}{4 x + 7}

What is the inverse of f(x)=(5x+2)/(3x-8) ?
The inverse of f(x)=(5x+2)/(3x-8) is (2+8x)/(3x-5)