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Popular >

inverse of f(x)=arcsinh(e^x)

Solution

inverse

f (x) = arcsinh (e^{x})

Solution

ln (sinh (x))

Solution steps

arcsinh (a) = b \Rightarrow a = sinh (b)

e^{x} = sinh (y)

Solve for

x, e^{x} = sinh (y)

ln (sinh (y))

Substitute

y = x

ln (sinh (x))

Popular Examples

inverse of f(x)=(4x-3)/5 inverse

f (x) = \frac{4 x - 3}{5}

inverse of f(x)=(4x-3)/2 inverse

f (x) = \frac{4 x - 3}{2}

inverse of f(x)=((e^x))/(e^x+1)inverse

f (x) = \frac{( e ^{x} )}{e ^{x} + 1}

inverse of f(x)=arctan(-(sqrt(3))/3)inverse

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

inverse of (9+2x)/(10-x)inverse

\frac{9 + 2 x}{10 - x}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=arcsinh(e^x) ?
The inverse of f(x)=arcsinh(e^x) is ln(sinh(x))