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

The inverse of 4ln(x^2+4) is sqrt(e^{x/4)-4},-sqrt(e^{x/4)-4}

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inverse of 4ln(x^2+4)

inverse

4 ln (x^{2} + 4)

e^{\frac{x}{4}} - 4, - e^{\frac{x}{4}} - 4

Solution steps

y = 4 ln (x^{2} + 4)

Replace

x

with

y

x = 4 ln (y^{2} + 4)

Solve for

y, x = 4 ln (y^{2} + 4)

e^{\frac{x}{4}} - 4, - e^{\frac{x}{4}} - 4

\frac{∣ x ∣ - 2}{2 x + 2}

x = - 7

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

y = 3 x - 2, (- 9, 5)

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

What is the inverse of 4ln(x^2+4) ?
The inverse of 4ln(x^2+4) is sqrt(e^{x/4)-4},-sqrt(e^{x/4)-4}