if f(x) = -1, x0

and g(x) = x(1 - xsquare)

then f(g(x)) is continuous for

a R

b R - {0}

c R - {0,1}

d R - {-1,0,1}

Question

if f(x) = -1, x<0

0, x=0

1, x>0

and g(x) = x(1 - xsquare)

then f(g(x)) is continuous for

a R

b R - {0}

c R - {0,1}

d R - {-1,0,1}

AskIitian Expert Chaitanya · Answer

Dear iit jee ,

G(x) = x(1-x^2)


G(x ) > 0 when - infinity < x < -1 & 0 < x < 1
      = 0 when x = -1 & 1
      < 0 when -1 < x < 0 & 1 < x < infinity

Hence fog(x) = -1 when - infinity < x < -1 & 0 < x < 1

             = 0 when x = -1 & 1

             = 1 when -1 < x < 0 & 1 < x < infinity

hence the function is discontinous at -1 ,0,1


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if f(x) = -1, x<0 0, x=0 1, x>0 and g(x) = x(1 - xsquare) then f(g(x)) is continuous for a R b R - {0} c R - {0,1} d R - {-1,0,1}

if f(x) = -1, x<0

0, x=0

1, x>0

and g(x) = x(1 - xsquare)

then f(g(x)) is continuous for

a R

b R - {0}

c R - {0,1}

d R - {-1,0,1}

1 Answers

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if f(x) = -1, x&lt;0 0, x=0 1, x&gt;0 and g(x) = x(1 - xsquare) then f(g(x)) is continuous for a R b R - {0} c R - {0,1} d R - {-1,0,1}

if f(x) = -1, x<0 0, x=0 1, x>0 and g(x) = x(1 - xsquare) then f(g(x)) is continuous for a R b R - {0} c R - {0,1} d R - {-1,0,1}

1 Answers

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if f(x) = -1, x<0 0, x=0 1, x>0 and g(x) = x(1 - xsquare) then f(g(x)) is continuous for a R b R - {0} c R - {0,1} d R - {-1,0,1}

if f(x) = -1, x<0

0, x=0

1, x>0

and g(x) = x(1 - xsquare)

then f(g(x)) is continuous for

a R

b R - {0}

c R - {0,1}

d R - {-1,0,1}