What is the inverse of f(x)=(9x+4)/(10x+1) ?

The inverse of f(x)=(9x+4)/(10x+1) is (4-x)/(10x-9)

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inverse of f(x)=(9x+4)/(10x+1)

inverse

f (x) = \frac{9 x + 4}{10 x + 1}

\frac{4 - x}{10 x - 9}

Solution steps

y = \frac{9 x + 4}{10 x + 1}

Replace

x

with

y

x = \frac{9 y + 4}{10 y + 1}

Solve for

y, x = \frac{9 y + 4}{10 y + 1}

\frac{4 - x}{10 x - 9}

y = \frac{1}{1 + x ^{2}}

f (x) = 2 x^{2} + 32 x

f (x) = 2 + 4 - x^{2}

What is the inverse of f(x)=(9x+4)/(10x+1) ?
The inverse of f(x)=(9x+4)/(10x+1) is (4-x)/(10x-9)