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Popular Functions >

inverse of f(x)=16sin(7x)

Solution

inverse

f (x) = 16 sin (7 x)

Solution

\frac{arcsin ( \frac{x}{16} )}{7}

Solution steps

Solve for

sin (7 x), y = 16 sin (7 x)

sin (7 x) = \frac{y}{16}

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

7 x = arcsin (\frac{y}{16})

Solve for

x, 7 x = arcsin (\frac{y}{16})

\frac{arcsin ( \frac{y}{16} )}{7}

Substitute

y = x

\frac{arcsin ( \frac{x}{16} )}{7}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=16sin(7x) ?
The inverse of f(x)=16sin(7x) is (arcsin(x/(16)))/7