What is the inverse of f(x)=(4x+10)/(2x-14) ?

The inverse of f(x)=(4x+10)/(2x-14) is (5+7x)/(x-2)

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inverse of f(x)=(4x+10)/(2x-14)

inverse

f (x) = \frac{4 x + 10}{2 x - 14}

\frac{5 + 7 x}{x - 2}

Solution steps

y = \frac{4 x + 10}{2 x - 14}

Replace

x

with

y

x = \frac{4 y + 10}{2 y - 14}

Solve for

y, x = \frac{4 y + 10}{2 y - 14}

\frac{5 + 7 x}{x - 2}

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

\frac{5}{1 - x}

y = - \frac{5}{2} x - 8

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

x^{2} - x + 1

What is the inverse of f(x)=(4x+10)/(2x-14) ?
The inverse of f(x)=(4x+10)/(2x-14) is (5+7x)/(x-2)