Home
Class 12
MATHS
यदि A = {1, 2, 3, 4), B = {3, 5, 7, 9}, ...

यदि A = {1, 2, 3, 4), B = {3, 5, 7, 9}, C= {7,23,47,79} और फलन `f:A to B` तथा `g : B to C` इस प्रकार परिभाषित हैं कि `f(x) = 2 x + 1 ` तथा `g(x) = x^2 - 2 ` , तो `(gof)^(-1) ` तथा `f^(-1)og^(-1)` को क्रमित युग्मों के रूप में व्यक्त कीजिए तथा प्रमाणित कीजिए कि `(gof)^(-1) = f^(-1) og^(-1)`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (gof) (x)

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (gof) (x)

Let A={(1,2,3,4},B=(3,5,7,9} and C=(7,23,47,79} and f= A rarr B, g:B rarrC be defined by f(x)=2x+1 AA x in A and g(x)=x^(2)-2 AA x in B .. Find (gof)^(-1) and f^(-1)og^(-1) at sets of ordered pairs. Is (gof)^(-1)=f^(-1)og^(-1) ?

If f(x)=2x-1,g(x)=(x+1)/(2) for all x in R , find (gof)(x)

If f(x) = 2x-1, g(x) = (x+1)/(2) for all x in R , then find (gof) (x).

Let A={1,2,\ 3,\ 4};\ B={3,\ 5,\ 7,\ 9}; C={7,\ 23 ,\ 47 ,\ 79} and f: A->B , g: B->C be defined as f(x)=2x+1 and g(x)=x^2-2 . Express (gof)^(-1) and f^(-1)o\ g^(-1) as the sets of ordered pairs and verify that (gof)^(-1)=f^(-1)\ og^(-1) .

Let f(x)=-2x^(2)+1 and g(x)=4x-3 then (gof)(-1) is equal to

Let f= {(1, 5), (2, 6), (3, 4)} g = {(4, 7), (5,8), (6,9)}. Then gof is :