Home
Class 12
MATHS
Find gof if f(x)= 8x-2 and g(x) = 2x...

Find gof if `f(x)= 8x-2` and `g(x) = 2x`

Text Solution

Verified by Experts

The correct Answer is:
D

`(gof)(2)=g(f(2))=g(4xx2+5)=g(13)`
`=(13)^(2)+4=173`
and `(fog)(g)=f(g(9))=f(9^(2)+4)=f(85)`
`=8xx85+3=683`
`therefore 4(gof)(2)-(fog)(9)=4xx173-683=9`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Find gof and fog given f(x) = 8x^(3) and g(x) = x^(1//3) .

Find gof and fog, if (i) f (x) = |x| and g (x) = |5x - 2| (ii) f (x) = 8x ^(3) and g (x) = x ^(1/3).

Find the gof and fog if f(x) = 8x^(3)" and "g(x)=x^(1/3)

Find gof and fog given f(x) = |x| and g(x) = |5x - 2| .

If f:R rarr R and g : R rarr R are defined by f(x) = 3x + 2 and g(x) = x^2 - 3 , then the value of x such that g(f(x))=4 are

If f:R -> R, g:R -> R defined as f(x) = sin x and g(x) = x^2 , then find the value of (gof)(x) and (fog)(x) and also prove that gof != fog .

Find gof and fog if f : R rarr R and g : R rarr R are given by f(x) = cosx and g(x) = 3x^(2)

If functions f : R to R and g: R to R are given by f(x) = |x| and g(x) = [x] , ( where [x] is greatest function) find fog (-(1)/(2) ) and "gof" (- (1)/(2) )