What is the inverse of f(x)=2x^2+16x+30 ?

The inverse of f(x)=2x^2+16x+30 is (-16+sqrt(8x+16))/4 ,(-16-sqrt(8x+16))/4

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inverse of f(x)=2x^2+16x+30

inverse

f (x) = 2 x^{2} + 16 x + 30

\frac{- 16 + 8 x + 16}{4}, \frac{- 16 - 8 x + 16}{4}

Solution steps

y = 2 x^{2} + 16 x + 30

Replace

x

with

y

x = 2 y^{2} + 16 y + 30

Solve for

y, x = 2 y^{2} + 16 y + 30

\frac{- 16 + 8 x + 16}{4}, \frac{- 16 - 8 x + 16}{4}

\frac{6 x}{x ^{2} - 1}

\frac{2}{x + 2}

csch (x)

f (x) = (x - 4) + 6

f (x) = (\frac{8 ^{x}}{5})^{7}

What is the inverse of f(x)=2x^2+16x+30 ?
The inverse of f(x)=2x^2+16x+30 is (-16+sqrt(8x+16))/4 ,(-16-sqrt(8x+16))/4