If f(x)=x^2+1 , and g(x)=x-2 , find x su...

If `f(x)=x^2+1` , and `g(x)=x-2` , find x such that `f(g(x))=g(f(x))`

A

1

B

`3/2`

C

`1.5`

D

`2`

Verified by Experts

The correct Answer is:

B, C

Similar Questions

Explore conceptually related problems

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

If f(x)=log_(e)x and g(x)=e^(x) , then prove that : f(g(x)}=g{f(x)}

If f(x+2)=3x+11 and g(f(x))=2x, find the value of g(5).

if f(x)=x^2 +3 and g(x)=x-5 , evaluate f(g(9)).

If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=

f(x)=x^3-6x^2-19 x+84 ,\ g(x)=x-7 find the value of f(x)-g(x).

If f(x)=2x^(3) and g(x)=3x , what is the value of g(f(-2))-f(g(-2)) ?

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

If f(x) =4x^2 and g(x) =f(sin x)+f(cos x), then g (23^(@)) is

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)