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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.

yashika chauhan , 15 Years ago
Grade 12
anser 2 Answers
manoj jangra

Last Activity: 15 Years ago

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

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

here as xis even function its coffeceiont must be 0

m- 1 = 0

m = -1   

  after solving equation 1 we get n=-2

g(x) will be neither even nor odd   

 

abhishek upadhyay

Last Activity: 13 Years ago

dear chauhan

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

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