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Paha777 [63]
3 years ago
6

What is the discontinuity of the function f(x)= x^2-4x-12/x+2. PLEASE ASAP WILL GIVE BRAINLIEST!

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Hello!

\large\boxed{\text{Infinite discontinuity at x = 2}}

f(x) = \frac{x^{2} - 4x - 12}{x - 2}

Recall that in a rational function, the denominator contains the vertical asymptote (an infinite discontinuity).

If terms can be canceled from the denominator and the numerator, then the function contains a hole. We can check whether this function contains such by factoring:

f(x) = \frac{(x - 6)(x + 2)}{x - 2}

There is no common factor, so the function only contains a discontinuity at its vertical asymptote.

Find the vertical asymptote by setting the denominator equal to 0:

x - 2 = 0

x = 2.

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the sum of ava’s and grace’s ages is 35. Ava is one year less than three time Grace’s age. How old is Ava, x and Grace, y expres
pantera1 [17]

Answer:

Ava is 26 and Grace age is 9

Step-by-step explanation:

x=ava's age

y=grace's age

3y-1=x

x+y=35

Substitute 3y-1 to x+y=35 for the value of x to find grace age

3y-1+y=35

  4y-1=35

     +1  +1

4y=36

y=9       now substitute 9, the y value in 3y-1=x  to find ava's age

3(9)-1=x

x=26

to verify; 26+9=35

true 35=35

 

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4 0
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Read 2 more answers
Can you answer those 2 questions please?!thank you
Brrunno [24]

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I know Q1 is right, I'm not so sure about Q2 so I'm sorry if that's wrong

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A box contains 8 yellow, 3 orange and 5 purple candies. A tray contains 7 red, 4 blue and 9 orange drinks. If Asia chooses one c
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7 0
3 years ago
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