What is the inverse of f(x)=(x+14)/(x-7) ?

The inverse of f(x)=(x+14)/(x-7) is (14+7x)/(x-1)

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inverse of f(x)=(x+14)/(x-7)

inverse

f (x) = \frac{x + 14}{x - 7}

\frac{14 + 7 x}{x - 1}

Solution steps

y = \frac{x + 14}{x - 7}

Replace

x

with

y

x = \frac{y + 14}{y - 7}

Solve for

y, x = \frac{y + 14}{y - 7}

\frac{14 + 7 x}{x - 1}

\frac{x ^{2} + 1}{x ^{2} - 1}

f (x) = x^{4} - 24 x^{2}

y = (\frac{x}{x - 1})

\frac{t}{t - 3}

f (x) = x^{2} - 4 x + 3

What is the inverse of f(x)=(x+14)/(x-7) ?
The inverse of f(x)=(x+14)/(x-7) is (14+7x)/(x-1)