Home
Class 12
MATHS
If g(x) =|(a^(-x),e^(xlog(e)a),x^(2)),(a...

If g(x) `=|(a^(-x),e^(xlog_(e)a),x^(2)),(a^(-3x),e^(3xlog_(e)a),x^(4)),(a^(-5x),e^(5xlog_(e)a),1)|`, then a)g(x)+g(-x)=0 b)g(x)-g(x)=0 c)`g(x)xxg(-x)=0` d)None of these

A

g(x)+g(-x)=0

B

g(x)-g(x)=0

C

`g(x)xxg(-x)=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=|(2^(-x),e^(xlog_(2)2),x^(2)),(2^(-3x),e^(3xlog_(e)2),x^(4)),(2^(-5x),e^(5xlog_(e)2),1)| , then a) f(x) + f(-x) = 0 b)f(x) - f(-x) =0 c)f(x) + f(-x)=2 d)None of these

int(x^(3)-1)/(x^(3)+x)dx is equal to a) x-log_(e)|x|+log_(e)(x^(2)+1)-tan^(-1)x+C b) x-log_(e)|x|+1/2log_(e)(x^(2)+1)-tan^(-1)x+C c) x+log_(e)|x|+1/2log_(e)(x^(2)+1)+tan^(-1)x+C d)None of these

The function x^(x) decreases in the interval a)(0, e) b)(0, 1) c) (0, (1)/(e)) d)None of these

If I=inte^(-x)log(e^(x)+1)dx , then I equals a) x+(e^(-x)+1)log(e^(x)+1)+C b) x+(e^(x)+1)log(e^(x)+1)+C c) x-(e^(-x)+1)log(e^(x)+1)+C d)None of these

If g(x)=int_(0)^(x)cos^(4)tdt , then g(x+pi) is equal to a) g(x)+g(pi) b) g(x)-g(pi) c) g(x).g(pi) d) (g(x))/(g(pi))

int_(-1)^(1)(e^(x^(3)) + e^(-x^(3)))(e^(x) - e^(-x)) dx is equal to

(d(a^x))/dx =... a) a^x b) log(a^x) c) a^xlog a d) xa^(x-1)