What is the inverse of f(x)=((7x+4))/(6x+2) ?

The inverse of f(x)=((7x+4))/(6x+2) is (4-2x)/(6x-7)

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inverse of f(x)=((7x+4))/(6x+2)

inverse

f (x) = \frac{( 7 x + 4 )}{6 x + 2}

\frac{4 - 2 x}{6 x - 7}

Solution steps

y = \frac{7 x + 4}{6 x + 2}

Replace

x

with

y

x = \frac{7 y + 4}{6 y + 2}

Solve for

y, x = \frac{7 y + 4}{6 y + 2}

\frac{4 - 2 x}{6 x - 7}

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

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

4 x^{3} - 41

f (x) = x^{5} - 7

What is the inverse of f(x)=((7x+4))/(6x+2) ?
The inverse of f(x)=((7x+4))/(6x+2) is (4-2x)/(6x-7)