Home
Class 11
MATHS
Find the constant b that makes g continu...

Find the constant b that makes g continuous on `(-oo, oo) , g(x)={:{(x^(2)-b^(2)", if " x lt 4),(bx+20", if " x ge 4):}`

Text Solution

Verified by Experts

The correct Answer is:
`b= -2`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART-III|10 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - III|17 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Find the constant b that makes g continuous on (-oo,oo)" "g(x)={{:(x^(2)-b^(2)" "ifxlt4),(bx+20" "ifxge4):}

Find the constant b that makes g continuous on (-infty,infty) g(x)={{: (x^2-b^2 , if x<4) ,(bx+20, if x ≥ 4):}

Find the values of a and b such that the function defined by f(x)={{:(5," if "x le 2),(ax+b," if "2 lt x lt 10),(21," if "x ge 10):} is a continuous function.

Find the inverse of the function: f:(-oo,1] rarr [1/2,oo],w h e r ef(x)=2^(x(x-2))

Discuss the continuity of the function f given by {{:(x," if "x ge 0),(x^2," if "x lt 0):} .

Show that the function {{:((x^(3)-1)/(x-1)", ""if "xne1),(3", ""if "x=1):} is continuous on (-oo,oo)

If f and g are continuous functions with f(3)=5 and lim_(x to 3)[2f(x)-g(x)]=4 , find g(3).

f is a continous function in [a, b] ; g is a continuous function in [b,c]. A function h(x) is defined as h(x)=f(x) for x in [a,b) , g(x) for x in (b,c] if f(b) =g(b) then