What is the inverse of f(x)=(15-4x)/(4-x) ?

The inverse of f(x)=(15-4x)/(4-x) is (15-4x)/(-x+4)

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inverse of f(x)=(15-4x)/(4-x)

inverse

f (x) = \frac{15 - 4 x}{4 - x}

\frac{15 - 4 x}{- x + 4}

Solution steps

y = \frac{15 - 4 x}{4 - x}

Replace

x

with

y

x = \frac{15 - 4 y}{4 - y}

Solve for

y, x = \frac{15 - 4 y}{4 - y}

\frac{15 - 4 x}{- x + 4}

What is the inverse of f(x)=(15-4x)/(4-x) ?
The inverse of f(x)=(15-4x)/(4-x) is (15-4x)/(-x+4)