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

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

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

inverse

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

\frac{4 - 10 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 - 10 x}{x - 1}

(7.1) (3.1)

f (x) = \frac{x + 1}{3 - 7 x}

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

f (x) = 9 x^{7} + 21 x^{6} - 30 x^{5} - 19

- 3 sin (- 2 x + \frac{π}{2})

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