Home
Class 12
MATHS
The value of a and b such that the funct...

The value of a and b such that the function defined by
`f(x) = {(7,",","if" x le 2),(ax+b,",","if" 2 lt x lt 9),(21,",","if" x ge 9):}`, is continuous on its domain are

A

(a) `a = 3, b = 2`

B

(b) `a =2, b = 3`

C

(c) `a =7, b = 9`

D

(d) none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of a and b sucht that the function f defined by f(x)= {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at

If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ",", "if"1 lt x le 2 ):} is continuous at every point of its domain, then the value of b is

The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),((1-x)(2-x), ",", 1 le x le 2 ),(3-x, ",", x gt 2 ):} fails to be continuous is (are)

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is