Home
Class 12
MATHS
If f(x) and g(x) are two functions such ...

If `f(x) and g(x)` are two functions such that `f(x)+g(x)=e^(x) and f(x)-g(x)=e^(-x)` then
I: f(x) is an even function
II : g(x) is an odd function
III : Both f(x) and g(x) are neigher even nor odd.

A

I and II are true

B

only I is true

C

only II is true

D

only III is true

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f(x) + g(x) = e^(-x) where f(x) is an even function and g(x) is an odd function then f(x) =

If f(x) is an even function and g is an odd function, then f(g(x)) is……………….function

If f(x) and g(x) are two functions with g(x) = x -1/x and fog (x) = x^3 -x/x^3 then f^(1)(x)=

If f(x) is an even function and g(x) is an odd function and satisfies the relation x^(2)f(x)-2f(1/x) = g(x) then

If the function f(x) = x^3 + e^(x/2) and g(x) =f^-1(x) , then the value of g'(1) is

If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(x)+g(a-x)=2 then int_(0)^(a)f(x)g(x)dx=

If f(x)=x^(2) and g(x)=|x| , then find (ii) f-g

If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2) then find (ii) (fg)(x)