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Popular Functions >

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

Graph

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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