Home
Class 12
MATHS
If f, g : R to R such that f(x) = 3 x^(...

If `f, g` : `R to R` such that `f(x) = 3 x^(2) - 2, g (x) = sin (2x) ` the `g of = `

A

`3 sin^(2) x - 2 `

B

` sin 2 (3x^(2) - 1)`

C

` sin (6 x ^(2) - 4)`

D

`3 sin ^(2) 2 x - 2 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 8

    ICSE|Exercise Section - A |19 Videos

  • MODEL TEST PAPER - 8

    ICSE|Exercise Section - B (In sub-parts (i) and (ii) choose the correct option and In sub-parts (iii) to (v) , answer the questions as instructed )|5 Videos

  • MODEL TEST PAPER - 7

    ICSE|Exercise Section - C |5 Videos

  • MODEL TEST PAPER -1

    ICSE|Exercise Secton - C|11 Videos

Similar Questions

Explore conceptually related problems

If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .

If f : R to R , f (x) =x ^(3) and g: R to R , g (x) = 2x ^(2) +1, and R is the set of real numbers then find fog(x) and gof (x).

Statement-1: If f:R to R and g:R to R be two functions such that f(x)=x^(2) and g(x)=x^(3) , then fog (x)=gof (x). Statement-2: The composition of functions is commulative.

If f : R to R , f(x)=x^(2) and g(x)=2x+1 , then

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

If f:R->R and g:R-> R are two mappings such that f(x) = 2x and g(x)=x^2+ 2 then find fog and gog .

If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) = 6x + 5. Find f-g.

For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)) , then

If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = log x , then the value of (gof) (2) is

Let f, g : R -> R be defined, respectively by f(x) = x + 1 , g(x) = 2x-3 . Find f + g , f-g and f/g .