A binary operation A is defined on the set R of real numbers by a Ab= a + b - 2ab, where a, b, eR. (a) Calculate (5 – 3 2 ) A (6 + 5 /2 ), giving your answer in the form m + where m and n are rational numbers. (b) Determine whether or not the operation A is commutative. (c) Find the identity element e of R under the operation. (d) Find the inverse of a general element a e R, and state which element of R has inverse

$9.41

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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