What is the inverse of f(x)=(x^2+6)/2 ?

The inverse of f(x)=(x^2+6)/2 is sqrt(2x-6),-sqrt(2x-6)

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inverse of f(x)=(x^2+6)/2

inverse

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

2 x - 6, - 2 x - 6

Solution steps

y = \frac{x ^{2} + 6}{2}

Replace

x

with

y

x = \frac{y ^{2} + 6}{2}

Solve for

y, x = \frac{y ^{2} + 6}{2}

2 x - 6, - 2 x - 6

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

3 y = 2 x + 5

\frac{- 5 x + 25}{9}

11 - 4 x

f (x) = x^{2} + 16 x + 8

What is the inverse of f(x)=(x^2+6)/2 ?
The inverse of f(x)=(x^2+6)/2 is sqrt(2x-6),-sqrt(2x-6)