What is the inverse of f(x)=(2x+3)/(7x+4) ?

The inverse of f(x)=(2x+3)/(7x+4) is (3-4x)/(7x-2)

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inverse of f(x)=(2x+3)/(7x+4)

inverse

f (x) = \frac{2 x + 3}{7 x + 4}

\frac{3 - 4 x}{7 x - 2}

Solution steps

y = \frac{2 x + 3}{7 x + 4}

Replace

x

with

y

x = \frac{2 y + 3}{7 y + 4}

Solve for

y, x = \frac{2 y + 3}{7 y + 4}

\frac{3 - 4 x}{7 x - 2}

f (x) = 8 x - 4

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

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

f (x) = \frac{( x ^{2} + x )}{2}

y = 5^{2 x}

What is the inverse of f(x)=(2x+3)/(7x+4) ?
The inverse of f(x)=(2x+3)/(7x+4) is (3-4x)/(7x-2)