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Let 2f(x^2)+3f(11x^2)=x^2-1 for all x in...

Let `2f(x^2)+3f(11x^2)=x^2-1` for all `x in R=[0],` Then `f(x)` equals

Text Solution

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`2f(x^2)+3(f(1/x^2)=x^-1`
replacing `x^2->x`
`2f(x)+3f(1/x)=x-1-(1)`
replacing`1/x->x`
`2f(1/x)+3f(x)=1/x-1-(2)`
from equation 1 and 2
`-5f(x)=(2x^2-3+x)/x`
`5f(x)=(3-x-2x^2)/x`
...
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