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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = \frac{x + 4}{x + 9}

cos (x) - 3

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

(- 4, 3), (1, - 3)

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