What is the inverse of f(x)=((x+4))/(x+7) ?

The inverse of f(x)=((x+4))/(x+7) is (4-7x)/(x-1)

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inverse of f(x)=((x+4))/(x+7)

inverse

f (x) = \frac{( x + 4 )}{x + 7}

\frac{4 - 7 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 7}

Replace

x

with

y

x = \frac{y + 4}{y + 7}

Solve for

y, x = \frac{y + 4}{y + 7}

\frac{4 - 7 x}{x - 1}

(5.4) (- 3.2)

f (x) = 2 x^{2}

(1, - 3), (- 2, 4)

f (x) = - x^{4}

y = x^{2}

What is the inverse of f(x)=((x+4))/(x+7) ?
The inverse of f(x)=((x+4))/(x+7) is (4-7x)/(x-1)