Let a = {1, 2, 3, 4, 5} and b = {2, 4}. what is a ∩ b?

A ∩ B = {2, 4}

Step-by-step explanation:

Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.

For example:

If x∈A and x∈B

then;

x∈ A ∩ B

Given the sets:

A = {1, 2, 3, 4, 5} and B = {2, 4}

We have to find  A ∩ B.

By definition we have;

A ∩ B = {2, 4}

Therefore, the value of  A ∩ B is, {2, 4}

ddsf

step-by-step explanation:

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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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