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f(x)=(sq(m)-1))xsq + (m-1)x+n+2(m not equal to 1) be an odd function and m and n are constants.determine whether g(x)=x(power)m +x (POWer)n is an even or odd or none.

f(x)=(sq(m)-1))xsq + (m-1)x+n+2(m not equal to 1)


be an odd function and m and n are constants.determine whether g(x)=x(power)m +x (POWer)n is an even or odd or none.

Grade:12

2 Answers

manoj jangra
8 Points
13 years ago

hey its answer is none .f(x) = (m2  - 1)x2 + (m - 1)x + n + 2     

for odd function f(x) = - f(x)................................................(1)

here as x2  is even function its coffeceiont must be 0

m2  - 1 = 0

m = -1   

  after solving equation 1 we get n=-2

g(x) will be neither even nor odd   

 

abhishek upadhyay
23 Points
12 years ago

dear chauhan

  quadratics are never odd they are even if coeff. of x is 0

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