What is the inverse of f(x)=(3x+1)/(8+5x) ?

The inverse of f(x)=(3x+1)/(8+5x) is (1-8x)/(5x-3)

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inverse of f(x)=(3x+1)/(8+5x)

inverse

f (x) = \frac{3 x + 1}{8 + 5 x}

\frac{1 - 8 x}{5 x - 3}

Solution steps

y = \frac{3 x + 1}{8 + 5 x}

Replace

x

with

y

x = \frac{3 y + 1}{8 + 5 y}

Solve for

y, x = \frac{3 y + 1}{8 + 5 y}

\frac{1 - 8 x}{5 x - 3}

f (x) = \frac{6 x}{x - 3}

\frac{1}{x ^{4}}

f (x) = 0.5 x + 4

f (x) = 5 x + 6

ln (7 - 6 x^{2})

What is the inverse of f(x)=(3x+1)/(8+5x) ?
The inverse of f(x)=(3x+1)/(8+5x) is (1-8x)/(5x-3)