Math, asked by anubha9157, 1 year ago

if f(x) = (x - 5) and g(x) = ( 5 - x) check if (fog)(x)= (gof) (x)


anubha9157: Please help
Anonymous: ___k off
anubha9157: shutup
Anonymous: @anubha help in which subject?
anubha9157: i was in this que
anubha9157: i was asking in this que
Anonymous: fine.

Answers

Answered by Anonymous
12

HEYA \:  \\  \\ (fog)(x) = f(g(x) )\\  \\ f(g(x)) = f((5 - x)) \\  \\ f((5 - x)) = (5 - x) + 5 \\  \\ f((5 - x)) =  - x \\  \\  \\ and \:  \\  \\ (gof)(x) = g(f(x))  \\  \\ g(f(x)) = g((x - 5)) \\  \\ g((x - 5)) = x - 5 +  5 \\  \\ g((x - 5)) = -  x \\  \\ so \:  \:  \: (fog(x)) = (gof(x))

Similar questions