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Popular >

inverse of f(x)=8+arctan(x+1)

Solution

inverse

f (x) = 8 + arctan (x + 1)

Solution

tan (x - 8) - 1

Solution steps

Solve for

arctan (x + 1), y = 8 + arctan (x + 1)

arctan (x + 1) = y - 8

arctan (a) = b \Rightarrow a = tan (b)

x + 1 = tan (y - 8)

Solve for

x, x + 1 = tan (y - 8)

tan (y - 8) - 1

Substitute

y = x

tan (x - 8) - 1

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=8+arctan(x+1) ?
The inverse of f(x)=8+arctan(x+1) is tan(x-8)-1