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Popular >

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