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Inverse of a Function

If px=xn and ...

Question

$If p (x) = x^{n} and q (x) = x^{\frac{1}{n}}, where n is odd, then p (x) and q (x) are inverse of each other .$

A

True

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B

False

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Solution

The correct option is A True

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Similar questions

P (x) = {a x}^{2} + b x + c

Q (x) = {- a x}^{2} + d x + c

a c \neq 0

P (x), Q (x) = 0

Now in each of the following, find the quotient and remainder on dividing p(x) by q(x) and write then in the form p(x) = u(x) q(x) + v(x).

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

p (x) = x^{2} - 2 x + 1

q (x) = x^{3} - 3 x^{2} + 2 x - 1

p (x) \times q (x)

and check the degree of

p (x) \times q (x)

For each pair of polynomials p(x) and q(x) given below find the degree of p(x) + q(x) and p(x)q(x).

(i)

(ii)

(iii)

(iv)

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