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Popular >

inverse of f(x)=8arcsin(4x)

Solution

inverse

f (x) = 8 arcsin (4 x)

Solution

\frac{sin ( \frac{x}{8} )}{4}

Solution steps

Solve for

arcsin (4 x), y = 8 arcsin (4 x)

arcsin (4 x) = \frac{y}{8}

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

4 x = sin (\frac{y}{8})

Solve for

x, 4 x = sin (\frac{y}{8})

\frac{sin ( \frac{y}{8} )}{4}

Substitute

y = x

\frac{sin ( \frac{x}{8} )}{4}

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=8arcsin(4x) ?
The inverse of f(x)=8arcsin(4x) is (sin(x/8))/4