What is the inverse of f(x)=(x+21)/(x-7) ?

The inverse of f(x)=(x+21)/(x-7) is (21+7x)/(x-1)

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inverse of f(x)=(x+21)/(x-7)

inverse

f (x) = \frac{x + 21}{x - 7}

\frac{21 + 7 x}{x - 1}

Solution steps

y = \frac{x + 21}{x - 7}

Replace

x

with

y

x = \frac{y + 21}{y - 7}

Solve for

y, x = \frac{y + 21}{y - 7}

\frac{21 + 7 x}{x - 1}

f (x) = \frac{x ^{4} + 1}{x ^{2}}

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

x^{2} - 25

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

f (x) = lo g_{a} (x)

What is the inverse of f(x)=(x+21)/(x-7) ?
The inverse of f(x)=(x+21)/(x-7) is (21+7x)/(x-1)