If f(x) = ax+b and g(x) = cx+d then f(g(...

If `f(x) = ax+b` and `g(x) = cx+d` then `f(g(x)) = g(f(x))` is equivalent to

A

`f(p)=g(q)`

B

`f(q)=g(q)`

C

`f(s)=g(q)`

D

`f ( r)=g(p )`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(x) = In (x), g(x) = x^3 then f(g(ab)) = …

If f(x)=2 x^(2)+x+1 and g(x)=3 x+1 then f o g(2)

If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x) and g(x) + g(a - x) = a , then int_0^a f(x). g(x) dx is equal to :

int f(x) dx = g(x) , then int f(x)g(x) dx =

Find fog if f(x)= x-2 and g(x) = 3x

Let f(x) = (ax+b)/(cx + d), then f(x) has

Let f(x) = sqrt(x) and g(x) = x find (i) (f + g) x (ii) (fg) x

Let g(x)=1+x-[x] and f(x)={:{(-1","x 0):} Then for all x,f(g(x)) is equal to :