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Popular >

inverse of f(x)=arcsin(2x-1)

Solution

inverse

f (x) = arcsin (2 x - 1)

Solution

\frac{sin ( x ) + 1}{2}

Solution steps

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

2 x - 1 = sin (y)

Solve for

x, 2 x - 1 = sin (y)

\frac{sin ( y ) + 1}{2}

Substitute

y = x

\frac{sin ( x ) + 1}{2}

Popular Examples

inverse of f(x)= 5/2*(1+pi*csch(pi))inverse

f (x) = \frac{5}{2} \cdot (1 + π \cdot csch (π))

inverse of f(x)= 1/(3x+28)inverse

f (x) = \frac{1}{3 x + 28}

inverse of f(x)= 1/8 x+7 inverse

f (x) = \frac{1}{8} x + 7

inverse of f(x)= 1/8 x+3 inverse

f (x) = \frac{1}{8} x + 3

inverse of g(x)=(7x)/(5x-1)inverse

g (x) = \frac{7 x}{5 x - 1}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=arcsin(2x-1) ?
The inverse of f(x)=arcsin(2x-1) is (sin(x)+1)/2