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Popular Functions >

inverse of f(x)=3cos(2x)

Solution

inverse

f (x) = 3 cos (2 x)

Solution

\frac{arccos ( \frac{x}{3} )}{2}

Solution steps

Solve for

cos (2 x), y = 3 cos (2 x)

cos (2 x) = \frac{y}{3}

cos (a) = b \Rightarrow a = arccos (b)

2 x = arccos (\frac{y}{3})

Solve for

x, 2 x = arccos (\frac{y}{3})

\frac{arccos ( \frac{y}{3} )}{2}

Substitute

y = x

\frac{arccos ( \frac{x}{3} )}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3cos(2x) ?
The inverse of f(x)=3cos(2x) is (arccos(x/3))/2