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Popular Functions >

inverse of f(x)=2sin(x+1)

Solution

inverse

f (x) = 2 sin (x + 1)

Solution

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

Solution steps

Solve for

sin (x + 1), y = 2 sin (x + 1)

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

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

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

Solve for

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

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

Substitute

y = x

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

Graph

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Frequently Asked Questions (FAQ)

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