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Popular >

inverse of f(x)=cos(x-1)+2

Solution

inverse

f (x) = cos (x - 1) + 2

Solution

arccos (x - 2) + 1

Solution steps

Solve for

cos (x - 1), y = cos (x - 1) + 2

cos (x - 1) = y - 2

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

x - 1 = arccos (y - 2)

Solve for

x, x - 1 = arccos (y - 2)

arccos (y - 2) + 1

Substitute

y = x

arccos (x - 2) + 1

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=cos(x-1)+2 ?
The inverse of f(x)=cos(x-1)+2 is arccos(x-2)+1