Home
Class 12
MATHS
If f (x) is continuous on 0-4, 2], defin...

If f (x) is continuous on `0-4, 2],` defined as
`f(x)=6b-3ax, "for" -4 le x lt -2`
`=4x+1," for" -2le x le2,`
find the value of `a+b.`

Promotional Banner

Similar Questions

Explore conceptually related problems

If f (x) is continuous on [-4, 2], defined as f(x)=6b-3ax, "for" -4 le x lt -2 =4x+1," for" -2le x le2, find the value of a+b.

If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex lt 2 =3x+2, "for" 2 lex le4 =2ax+5b, "for" 4 lt x le 8, find a and b.

If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x le 2),(2x+k", for " 2 lt x le 3):} , then k=

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", for "-2 le x lt 0),(2x+1", for " 0 le x le 1),(2bsqrt(x^(2)+3)-1", for " 1 lt x le 2):} , then a+b=

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If f(x)={((1)/(x+1)", for " 2 le x le 4),((x+1)/(x-3)", for " 4 lt x le 6):} , then