If f-R- R is defined by fx-x2-3x-2- then fx2-3x-2-

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How to Find the Inverse of a Function

If f:R→ R i...

Question

If $f : R \to R$ is defined by $f (x) = x^{2} - 3 x + 2$ , then $f (x^{2} - 3 x - 2) =$

x^{4} + 1

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x^{4} - 3 x + 2

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x^{4} - 6 x^{3} + 2 x^{2} + 21 x + 12

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x^{4} + 2 x + 2

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Solution

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The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

f : R \to R

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

f (x^{2} - 3 x - 2) = a x^{4} + b x^{3} + c x^{2} + d x + e

a + b + c + d + e =

f (x) = x^{4} + 3 x + 1, [- 2, - 1]

(3 x - 3 x^{2} - 12 + x^{4} + x^{3}) \div (2 + x^{2})

If f (x) = x^{2} - 1, then find f o f .

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