What is the inverse of f(x)=sqrt(e^{2sin(x))} ?

The inverse of f(x)=sqrt(e^{2sin(x))} is arcsin(ln(x))

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inverse of f(x)=sqrt(e^{2sin(x))}

inverse

f (x) = e^{2 s i n (x)}

arcsin (ln (x))

Solution steps

Solve for

sin (x), y = e^{2 s i n (x)}

sin (x) = ln (y)

sin (a) = b \Rightarrow a = arcsin (b)

arcsin (ln (y))

Substitute

y = x

arcsin (ln (x))

tan (\frac{1.2 1 ^{2}}{0.44 ( 9.8 )})

f (x) = (\frac{x ^{7} - 2}{3})^{\frac{1}{5}}

f (x) = 2 + 6 x - 2

\frac{1}{3}

f (x) = \frac{2 x + 5}{x + 2}

What is the inverse of f(x)=sqrt(e^{2sin(x))} ?
The inverse of f(x)=sqrt(e^{2sin(x))} is arcsin(ln(x))