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Popular >

inverse of f(x)=(x+a)/(x-a)

Solution

inverse

f (x) = \frac{x + a}{x - a}

Solution

\frac{a + a x}{x - 1}

Solution steps

y = \frac{x + a}{x - a}

Replace

x

with

y

x = \frac{y + a}{y - a}

Solve for

y, x = \frac{y + a}{y - a}

\frac{a + a x}{x - 1}

Popular Examples

range of (x^3-x^2-4x-4)/(x^2+3x+2)range

\frac{x ^{3} - x ^{2} - 4 x - 4}{x ^{2} + 3 x + 2}

inverse of f(x)= 7/5 x+8 inverse

f (x) = \frac{7}{5} x + 8

range of x^3-2x+3 range

x^{3} - 2 x + 3

inverse of f(x)=1+x^3 inverse

f (x) = 1 + x^{3}

asymptotes of f(x)=(3x^2+1)/(x^2+x+9)asymptotes

f (x) = \frac{3 x ^{2} + 1}{x ^{2} + x + 9}

Frequently Asked Questions (FAQ)

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