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Popular >

inverse of f(x)=-7cos(4x)

Solution

inverse

f (x) = - 7 cos (4 x)

Solution

\frac{arccos ( - \frac{x}{7} )}{4}

Solution steps

Solve for

cos (4 x), y = - 7 cos (4 x)

cos (4 x) = - \frac{y}{7}

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

4 x = arccos (- \frac{y}{7})

Solve for

x, 4 x = arccos (- \frac{y}{7})

\frac{arccos ( - \frac{y}{7} )}{4}

Substitute

y = x

\frac{arccos ( - \frac{x}{7} )}{4}

Popular Examples

inflection f(x)=xe^x inflection points

f (x) = x e^{x}

distance (4,2),(1,-2)distance

(4, 2), (1, - 2)

extreme f(x)=-1.8 extreme points

f (x) = - 1.8

line (4,17),(-1,-13)line

(4, 17), (- 1, - 13)

periodicity of f(x)=3cos((2pix)/5)periodicity

f (x) = 3 cos (\frac{2 π x}{5})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=-7cos(4x) ?
The inverse of f(x)=-7cos(4x) is (arccos(-x/7))/4