What is the inverse of f(x)=(8-x)(x+2) ?

The inverse of f(x)=(8-x)(x+2) is 3-sqrt(-x+25),sqrt(-x+25)+3

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inverse of f(x)=(8-x)(x+2)

inverse

f (x) = (8 - x) (x + 2)

3 - - x + 25, - x + 25 + 3

Solution steps

y = (8 - x) (x + 2)

Replace

x

with

y

x = (8 - y) (y + 2)

Solve for

y, x = (8 - y) (y + 2)

3 - - x + 25, - x + 25 + 3

- \frac{3 x}{x ^{2} - 4}

f (x) = \frac{( 6 x - x ^{2} )}{30}

f (x) = 3.09 x^{2} - 28.27 x + 78.16

\frac{4 x + 2}{- 4 x - 3}

f (x) = 500 - x

What is the inverse of f(x)=(8-x)(x+2) ?
The inverse of f(x)=(8-x)(x+2) is 3-sqrt(-x+25),sqrt(-x+25)+3