What is the inverse of f(x)=(5x+1)/(4x-2) ?

The inverse of f(x)=(5x+1)/(4x-2) is (1+2x)/(4x-5)

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inverse of f(x)=(5x+1)/(4x-2)

inverse

f (x) = \frac{5 x + 1}{4 x - 2}

\frac{1 + 2 x}{4 x - 5}

Solution steps

y = \frac{5 x + 1}{4 x - 2}

Replace

x

with

y

x = \frac{5 y + 1}{4 y - 2}

Solve for

y, x = \frac{5 y + 1}{4 y - 2}

\frac{1 + 2 x}{4 x - 5}

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

2 x^{2} + 8 x - 10

\frac{5}{s ^{2} - 3 s + 3}

g (s) = 65 t

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

What is the inverse of f(x)=(5x+1)/(4x-2) ?
The inverse of f(x)=(5x+1)/(4x-2) is (1+2x)/(4x-5)