What is the inverse of f(x)=4x^2+6x-12 ?

The inverse of f(x)=4x^2+6x-12 is (-3+sqrt(4x+57))/4 ,-(sqrt(4x+57)+3)/4

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inverse of f(x)=4x^2+6x-12

inverse

f (x) = 4 x^{2} + 6 x - 12

\frac{- 3 + 4 x + 57}{4}, - \frac{4 x + 57 + 3}{4}

Solution steps

y = 4 x^{2} + 6 x - 12

Replace

x

with

y

x = 4 y^{2} + 6 y - 12

Solve for

y, x = 4 y^{2} + 6 y - 12

\frac{- 3 + 4 x + 57}{4}, - \frac{4 x + 57 + 3}{4}

f (x) = 3 x - \frac{7}{8}

f (x) = f (x) = ln (x - 1) - ln (2 x + 1)

+ cos (3 θ)

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

What is the inverse of f(x)=4x^2+6x-12 ?
The inverse of f(x)=4x^2+6x-12 is (-3+sqrt(4x+57))/4 ,-(sqrt(4x+57)+3)/4