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3 years ago

Which statement is true about the discontinuities of the function f(x) = x-5/3x^2-17x-28

Mathematics

2 answers:

Ivahew [28]3 years ago

7 0

Answer:

The answer on Edge unity is B

Step-by-step explanation:

o-na [289]3 years ago

6 0

1) function f(x)

              x - 5
f(x) = ----------------
          3x^2 - 17x - 28

2) factor the denominator:

3x^2 - 17x - 28 = (3x + 4)(x - 7)

                        x - 5
=> f(x) = -----------------------
                (3x + 4) (x - 7)

3) Find the limits when x → - 4/3 and when x → 7

Lim of f(x) when x → - 4/3 = +/- ∞

=> vertical assymptote x = - 4/3

Lim of f(x) when x → 7 = +/- ∞

=> vertical assymptote x = 7

Answer: there are assympotes at x = 7 and x = - 4/3

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77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

$x^3-5x^2+3x+9=0$

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At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

$(x+1)(x^2-6x+9)=0$

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Using $(a-b)^2=a^2-2ab+b^2$

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USe zero product property and equate each factor equal to 0.

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Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

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