What is the inverse of f(x)=((x+3))/(4x-2) ?

The inverse of f(x)=((x+3))/(4x-2) is (3+2x)/(4x-1)

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inverse of f(x)=((x+3))/(4x-2)

inverse

f (x) = \frac{( x + 3 )}{4 x - 2}

\frac{3 + 2 x}{4 x - 1}

Solution steps

y = \frac{x + 3}{4 x - 2}

Replace

x

with

y

x = \frac{y + 3}{4 y - 2}

Solve for

y, x = \frac{y + 3}{4 y - 2}

\frac{3 + 2 x}{4 x - 1}

64 x^{2}

f (x) = - 2 x^{2} + 8 x - 7

y = (x + 1)^{2} + 2

4 - (\frac{1}{2})^{x + 2}

f (x) = 3 (x - 2)^{3} + 1

What is the inverse of f(x)=((x+3))/(4x-2) ?
The inverse of f(x)=((x+3))/(4x-2) is (3+2x)/(4x-1)