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Let f(x)=sin x+cosx and g(x)=x^(2)-1, th...

Let `f(x)=sin x+cosx` and `g(x)=x^(2)-1`, then `g{f(x)}` is invertible if -

A

`-(pi)/(2) le x le 0`

B

`-(pi)/(2) le x le pi`

C

`0 le x le (pi)/(2)`

D

`-(pi)/(4) le x le (pi)/(4)`

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
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  2. If f (x) =(3x+2)/(5x-3) (x ne (3)/(5)), then which one of the followin...

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  3. Let f(x)=sin x+cosx and g(x)=x^(2)-1, then g{f(x)} is invertible if -

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  4. ABCD is a quadrilateral,AB and CD are parallel, P and Q are the midpo...

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  7. Five horses are in a race. Mr. A selects two of the horses at random ...

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  9. In tossing a fair coin twice, let A and B denote the events of occurre...

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  10. A bag X contains 2 white and 3 black balls and another bag Y contains ...

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  11. A five digit number of formed by writing the digits 1, 2, 3, 4, 5 in ...

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  12. The value of the determinant |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),...

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  13. If |(cos(A+B),-sin(A+B),cos2B),(sinA,cosA, sinB),(-cosA, sinA, cosB)|=...

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  14. If |(x,-3i,1),(y,1,i),(0,2i,-i)|=6+11i, then the values of x and y ar...

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  15. If 1, omega, omega^(2) are the cube roots of unity, then the value of...

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  16. If |(x+1,1,1),(2,x+2,2),(3,3,x+3)|=0, then the value of x is -

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  17. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

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  18. If A=[(-1,2),(2,-1)], B=[(5),(7)] and AX=B then X is equal to -

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  19. If i=sqrt(-1),P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-...

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  20. If A ne 0 and B ne 0 are two 2xx2 matrices such that AB = 0, then w...

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