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=3, b=2

B

a=2, b=3

C

a=7, b=9

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)={(|x|+3",","if", x le -3),(-2x",", "if", -3 lt x lt 3),(6x+2",","if",x ge 3):} is

If the function f(x)={(x",","if",x le 1),(cx+k"," , "if" , 1 lt x lt 4),(-2x",","if", x ge 4):} is continuous everywhere, then the values of c and k are repectively

The value of a and b such that the function f(x) {:{(-2 sin x", "-pile x le -pi/2 ),(a sin x+b " ," -pi/2 lt x lt pi/2 ),(cos x", " pi/2 le x le pi ):} is continuous in [ - pi , pi ] are

Find the values of a and b such that the function defined by ' f(x)={5, if x<=2;ax+b if 2=10; is a continuous function.

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

Let f(x)={{:(ax-b,","x le 1),(3x,"," 1 lt x lt 2),(bx^2-a,"," x ge 2):} If f is continuous function then (a,b) is equal to

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 of a and b such that the function f(x)={(-2sinx"," , -pi le x le -(pi)/(2)),(a sinx+b",", -(pi)/(2) lt x lt (pi)/(2)),(cosx",", (pi)/(2) le x le pi ):} is continuous in [-pi,pi] are

If the function f(x)= {(5", " x le 2),(ax+b", "2 ltx le 10 ),(21", " x gt 10 ):} continuous ,find the values of a and b