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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

Solve for

arcsin (x - 1), y = 2 arcsin (x - 1)

arcsin (x - 1) = \frac{y}{2}

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

x - 1 = sin (\frac{y}{2})

Solve for

x, x - 1 = sin (\frac{y}{2})

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

Substitute

y = x

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

Popular Examples

inverse of f(x)=(8x)/(5x-3)inverse

f (x) = \frac{8 x}{5 x - 3}

inverse of 1/2 x+7 inverse

\frac{1}{2} x + 7

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

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

inverse of f(x)=a-2x inverse

f (x) = a - 2 x

inverse of y=sqrt(2x-x^2)inverse

y = 2 x - x^{2}

Frequently Asked Questions (FAQ)

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