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Q

If f defined from R to R is defined by f(x) equals x to the power 2 minus 3x plus 2, find f (f (x)).

Q. 3 If f : R → R is defined by f(x) = x ²– 3x + 2, find f (f (x)).

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S seema garhwal

This can be solved as following

f : R → R

$f(x) = x^{2}-3x+2$

$f(f(x)) = f(x^{2}-3x+2) = (x^{2}-3x+2)^{2} - 3(x^{2}-3x+2)+2$

$= (x^{4}+9x^{2}+4-6x^{3}-12x+4x^{2})-3x^{2}+9x-6+2$

$= x^{4} - 6x^{3}+10x^{2} - 3x$

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