If f(x) is continuous on its domain [-2, 2], where f(x)= cases ax x +3, & -2 x<0 2x+7, & 0 x 1 x^2+8-b , & 1<x 2 cases then the value of 2a + 3b is

MHT CET 2023 Mathematics question

If f(x) is continuous on its domain [-2, 2], where

f(x)=

then the value of 2a + 3b is

Answer: (B)

Continuity at : must equal , so . Continuity at : left value ; right limit (reading the third branch as ) . So . Then

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

Question ID VK-097909