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Popular >

inverse of f(x)=cos(x-pi)+2

Solution

inverse

f (x) = cos (x - π) + 2

Solution

arccos (x - 2) + π

Solution steps

Solve for

cos (x - π), y = cos (x - π) + 2

cos (x - π) = y - 2

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

x - π = arccos (y - 2)

Solve for

x, x - π = arccos (y - 2)

arccos (y - 2) + π

Substitute

y = x

arccos (x - 2) + π

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Frequently Asked Questions (FAQ)

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