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Popular >

inverse of f(x)=e^{arctan(x)}

Solution

inverse

f (x) = e^{a r c t a n (x)}

Solution

tan (ln (x))

Solution steps

Solve for

arctan (x), y = e^{a r c t a n (x)}

arctan (x) = ln (y)

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

tan (ln (y))

Substitute

y = x

tan (ln (x))

Popular Examples

domain of f(x)=ln(x-5)+ln(x)domain

f (x) = ln (x - 5) + ln (x)

inverse of sqrt(x^3)inverse

x^{3}

(26), (2 - 2)

line y=x-7 line

y = x - 7

domain of f(x)=(x+1)/(6-x)domain

f (x) = \frac{x + 1}{6 - x}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{arctan(x)} ?
The inverse of f(x)=e^{arctan(x)} is tan(ln(x))