What is the inverse of f(x)=(x+5)(x-5) ?

The inverse of f(x)=(x+5)(x-5) is sqrt(x+25),-sqrt(x+25)

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inverse of f(x)=(x+5)(x-5)

inverse

f (x) = (x + 5) (x - 5)

x + 25, - x + 25

Solution steps

y = (x + 5) (x - 5)

Replace

x

with

y

x = (y + 5) (y - 5)

Solve for

y, x = (y + 5) (y - 5)

x + 25, - x + 25

f (x) = \frac{- 5 + 2}{- 5 + 9}

f (x) = 0.25 x - 0.5

y = - 8 lo g_{5} (x)

- \frac{5}{8} x + 10

f (x) = 5 x - \frac{5}{2}

What is the inverse of f(x)=(x+5)(x-5) ?
The inverse of f(x)=(x+5)(x-5) is sqrt(x+25),-sqrt(x+25)