What is the inverse of f(x)=(4-3x)/(5x-4) ?

The inverse of f(x)=(4-3x)/(5x-4) is (4+4x)/(5x+3)

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inverse of f(x)=(4-3x)/(5x-4)

inverse

f (x) = \frac{4 - 3 x}{5 x - 4}

\frac{4 + 4 x}{5 x + 3}

Solution steps

y = \frac{4 - 3 x}{5 x - 4}

Replace

x

with

y

x = \frac{4 - 3 y}{5 y - 4}

Solve for

y, x = \frac{4 - 3 y}{5 y - 4}

\frac{4 + 4 x}{5 x + 3}

f (x) = e^{2 x - x^{2}}

f (x) = - 16 x^{2}

f (x) = 6 x + 1

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

f (x) = 3 x + 24

What is the inverse of f(x)=(4-3x)/(5x-4) ?
The inverse of f(x)=(4-3x)/(5x-4) is (4+4x)/(5x+3)