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

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

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

inverse

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

\frac{x - 6}{2}, - \frac{x - 6}{2}

Solution steps

y = 4 x^{2} + 6

Replace

x

with

y

x = 4 y^{2} + 6

Solve for

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

\frac{x - 6}{2}, - \frac{x - 6}{2}

x - y = 8

f (x) = \frac{5 x + 2}{x - 3}

x^{2} - 2 x + 5

f (x) = x^{3} + 3

\frac{x ^{3}}{3} - x^{2} + x + 10

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