What is the inverse of f(x)=((2x+a))/(x+7) ?

The inverse of f(x)=((2x+a))/(x+7) is (a-7x)/(x-2)

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inverse of f(x)=((2x+a))/(x+7)

inverse

f (x) = \frac{( 2 x + a )}{x + 7}

\frac{a - 7 x}{x - 2}

Solution steps

y = \frac{2 x + a}{x + 7}

Replace

x

with

y

x = \frac{2 y + a}{y + 7}

Solve for

y, x = \frac{2 y + a}{y + 7}

\frac{a - 7 x}{x - 2}

y = - \frac{1}{2} x + 4

f (x) = \frac{2 x}{3} - 6

f (x) = - 3 x^{2} + 2 x + 1

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

What is the inverse of f(x)=((2x+a))/(x+7) ?
The inverse of f(x)=((2x+a))/(x+7) is (a-7x)/(x-2)