What is the inverse of f(x)=(5-3x)/(7-4x) ?

The inverse of f(x)=(5-3x)/(7-4x) is (5-7x)/(-4x+3)

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inverse of f(x)=(5-3x)/(7-4x)

inverse

f (x) = \frac{5 - 3 x}{7 - 4 x}

\frac{5 - 7 x}{- 4 x + 3}

Solution steps

y = \frac{5 - 3 x}{7 - 4 x}

Replace

x

with

y

x = \frac{5 - 3 y}{7 - 4 y}

Solve for

y, x = \frac{5 - 3 y}{7 - 4 y}

\frac{5 - 7 x}{- 4 x + 3}

sin (x)

f (x) = 3 csc (x + \frac{π}{2})

5 x + 6 y = 42

\frac{x ^{2} - 4}{7 x ^{2}}

f (x) = \frac{1}{3} x - 2

What is the inverse of f(x)=(5-3x)/(7-4x) ?
The inverse of f(x)=(5-3x)/(7-4x) is (5-7x)/(-4x+3)