What is the inverse of f(x)=tan(x^2) ?

The inverse of f(x)=tan(x^2) is sqrt(arctan(x)),-sqrt(arctan(x))

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inverse of f(x)=tan(x^2)

inverse

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

arctan (x), - arctan (x)

Solution steps

tan (a) = b \Rightarrow a = arctan (b)

x^{2} = arctan (y)

Solve for

x, x^{2} = arctan (y)

arctan (y), - arctan (y)

Substitute

y = x

arctan (x), - arctan (x)

f (x) = lo g_{10} (x^{2} + 1)

f (x) = \frac{3 x}{x - 9}

h (x) = \frac{9}{x + 11}

f (x) = 2 (x - 5)^{2} - 6

f (x) = 15 + 3 x

What is the inverse of f(x)=tan(x^2) ?
The inverse of f(x)=tan(x^2) is sqrt(arctan(x)),-sqrt(arctan(x))