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Popular >

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

Solution

inverse

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

Solution

arcsin (ln (x))

Solution steps

Solve for

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

sin (x) = ln (y)

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

arcsin (ln (y))

Substitute

y = x

arcsin (ln (x))

Popular Examples

inverse of f(x)=0.2x^{0.5}inverse

f (x) = 0.2 x^{0.5}

inverse of f(x)=-6/5 x+6 inverse

f (x) = - \frac{6}{5} x + 6

inverse of y=2e^{3x-1}+5 inverse

y = 2 e^{3 x - 1} + 5

inverse of y=4x^2-36 inverse

y = 4 x^{2} - 36

inverse of g(x)=sqrt(x-3)inverse

g (x) = x - 3

Frequently Asked Questions (FAQ)

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