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

The inverse of f(x)=(5-x)/(3x-4) is (5+4x)/(3x+1)

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

inverse

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

\frac{5 + 4 x}{3 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{5 + 4 x}{3 x + 1}

f (x) = - 3 x + 1

f (x) = 2 x^{2} + 7 x - 3

f (x) = 2^{x - 3} - 5

f (x) = 2 π r^{2} + 8 π r

f (x) = 2 (3 x + 1) + 4

What is the inverse of f(x)=(5-x)/(3x-4) ?
The inverse of f(x)=(5-x)/(3x-4) is (5+4x)/(3x+1)