f(x)= cases 3-x, & -1 x<0 1+ 5x 3 , & -3 x 2 cases and g(x)= cases -x, & -2 x<3 x, & 0 x 1 cases the range of (f g)(x) is

MHT CET 2025 Mathematics question

and

the range of is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

Combine the cases of : from with we get values in , and from on we get values in , so overall takes values in , which lies inside the domain of . On this set is increasing, giving

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-102409