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Find the Domain of the Function F and of Its f1\mathrm { f } ^ { - 1 }

Question 37

Multiple Choice

Find the domain of the function f and of its inverse function f1\mathrm { f } ^ { - 1 } .
- f(x) =6tanx+10f ( x ) = 6 \tan x + 10


A) Domain of f:(,) \mathrm { f } : ( \infty , \infty )
Domain of f1:[4,16]\mathrm { f } ^ { - 1 } : [ 4,16 ]

B) Domain of f: x(2k+1) π2;kx \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k an integer
Domain of f1:(,) \mathrm { f } ^ { - 1 } : ( \infty , \infty )

C) Domain of f:(,) \mathrm { f } : ( * , \infty )
Domain of f1:x(2k+1) π2;k\mathrm { f } ^ { - 1 } : \mathrm { x } \neq \frac { ( 2 \mathrm { k } + 1 ) \pi } { 2 } ; \mathrm { k } an integer

D) Domain of f:x(2k+1) π2;kf : x \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k an integer

Domain of f1:[4,16]f ^ { - 1 } : [ 4,16 ]

Correct Answer:

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