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Let f(x) = tan x, x in (-pi/2,pi/2)and g...

Let `f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2)` then `g(f(x))` is

A

`((sqrt(cos 2x)))/(cosx)`

B

`-((sqrt(cos 2x)))/(cosx)`

C

`((sqrt(cos 2x)))/(|cosx|)`

D

Not defined

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Identify the incorrect statement

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  2. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation f...

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  3. Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)...

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  4. Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) +...

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  5. "If "f:R to R, g:R and h:R to R be three functions are given by f(x)=x...

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  6. Range ofthe function f(x)=cos(Ksin x) is [-1,1], then the least positi...

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  7. Consider that the graph of y = f(x) is symmetrie about the lines x =...

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  8. Let f(x) be defined in (0, 1), then the domain of definition of f(e^...

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  9. If f(x) = 4^(x) - 2^(x + 1) + 5, then range of f(x) is

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  10. Let g be a real valued function defined on the interval (-1, 1) such t...

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  11. If f(x) is a real valued function defined as f(x) = In(1 - sin x) then...

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  12. if f(x) is a real valued function defined as f(x)={min{|x|,1/x^2,1/x^3...

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  13. Select the correct option

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  14. Let f(x) = [x]^(2) + [x+1] - 3, where [.] denotes the greatest integer...

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  15. If 2^(f(x)) = (2+x)/(2-x), x in (-2, 2) and f(x) = lambda f((8x)/(4+ x...

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  16. If tan ax + cot ax and |tan x| + |cot x| are periodic functions of th...

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  17. If {x} and [x] represent fractional and integral part of x, then [x]+...

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  18. Let g(x) = x - [x] - 1 and f(x) = {{:(-1", " x lt 0),(0", "x =0),(1",...

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  19. If the function f(x) = [4.8 + asinx] (where [.]- * denotes the greates...

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  20. [(4)/(5)] + [(4)/(5)+(1)/(1000)] + [(4)/(5)+(2)/(1000)] + ...+[(4)/(5)...

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