What is the inverse of sqrt(4x^2+20) ?

The inverse of sqrt(4x^2+20) is (sqrt(x^2-20))/2 ,-(sqrt(x^2-20))/2

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inverse of sqrt(4x^2+20)

inverse

4 x^{2} + 20

\frac{x ^{2} - 20}{2}, - \frac{x ^{2} - 20}{2}

Solution steps

y = 4 x^{2} + 20

Replace

x

with

y

x = 4 y^{2} + 20

Solve for

y, x = 4 y^{2} + 20

\frac{x ^{2} - 20}{2}, - \frac{x ^{2} - 20}{2}

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

f (x) = 4 x^{3} - 6 x^{2} - 6 x

f (x) = 5 (3 x - 1)^{2} + 25

f (x) = \frac{- x ^{2} + 9}{4 x - 12}

f (x) = \frac{1}{4} x - 3

What is the inverse of sqrt(4x^2+20) ?
The inverse of sqrt(4x^2+20) is (sqrt(x^2-20))/2 ,-(sqrt(x^2-20))/2