Question

If f: R —>R, f(x)=[x],g: R—>R,g(x) = sinx, h:R—>R,g(x)=2x,then ho(gof) =.....,Select Proper option from the given options.
(a) sin[x]
(b) [sin2x]
(c) 2(sin[x])
(d) sin2[x]

Answer 1

Given, f : R --------->R , f(x) = [x]
g : R --------->R , g(x) = sinx
h : R --------->R , h(x) = 2x

we have to find the value of ho(gof)
first of all, find gof ,
gof = g(f(x)) = g([x]) = sin[x]

now, find ho(gof) = h(gof) = 2sin[x]
hence, value of ho(gof) = 2sin[x]
therefore, option (c) is correct choice.

Answer 2

Dear Student:

Option c is correct.

See the attachment.