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Popular Functions >

inverse of f(x)=-5cos(2x)

Solution

inverse

f (x) = - 5 cos (2 x)

Solution

\frac{arccos ( - \frac{x}{5} )}{2}

Solution steps

Solve for

cos (2 x), y = - 5 cos (2 x)

cos (2 x) = - \frac{y}{5}

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

2 x = arccos (- \frac{y}{5})

Solve for

x, 2 x = arccos (- \frac{y}{5})

\frac{arccos ( - \frac{y}{5} )}{2}

Substitute

y = x

\frac{arccos ( - \frac{x}{5} )}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=-5cos(2x) ?
The inverse of f(x)=-5cos(2x) is (arccos(-x/5))/2