What is the inverse of f(x)=4x^2+12x+10 ?

The inverse of f(x)=4x^2+12x+10 is (-3+sqrt(x-1))/2 ,-(sqrt(x-1)+3)/2

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inverse of f(x)=4x^2+12x+10

inverse

f (x) = 4 x^{2} + 12 x + 10

\frac{- 3 + x - 1}{2}, - \frac{x - 1 + 3}{2}

Solution steps

y = 4 x^{2} + 12 x + 10

Replace

x

with

y

x = 4 y^{2} + 12 y + 10

Solve for

y, x = 4 y^{2} + 12 y + 10

\frac{- 3 + x - 1}{2}, - \frac{x - 1 + 3}{2}

f (x) = 2 x + 3 5 - x

y = 175 - 4 x

f (x) = 4 (2)^{x}

f (x) = e^{x + 2} + 1

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

What is the inverse of f(x)=4x^2+12x+10 ?
The inverse of f(x)=4x^2+12x+10 is (-3+sqrt(x-1))/2 ,-(sqrt(x-1)+3)/2