What is the inverse of f(x)=log_{3}(x^2) ?

The inverse of f(x)=log_{3}(x^2) is sqrt(3^x),-sqrt(3^x)

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inverse of f(x)=log_{3}(x^2)

inverse

f (x) = lo g_{3} (x^{2})

3^{x}, - 3^{x}

Solution steps

y = lo g_{3} (x^{2})

Replace

x

with

y

x = lo g_{3} (y^{2})

Solve for

y, x = lo g_{3} (y^{2})

3^{x}, - 3^{x}

\frac{1 + sin ( y )}{1 - sin ( y )}

\frac{1}{3} x - 1

y = x^{2} - 3 x + 3

y = - 5 x + 2

What is the inverse of f(x)=log_{3}(x^2) ?
The inverse of f(x)=log_{3}(x^2) is sqrt(3^x),-sqrt(3^x)