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Nataly [62]
3 years ago
12

If f(x) is discontinuous, determine the reason. f(x)= {x^2 +4, x<=1; x+3, x>1}

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

Observe that f(x) is a continuous function when x1 because is a polynomial. The possible problem may occur in x=1.

Then, f(x) is discontinuous in x=1 if the limits of f to the right and the left of 1 exist and are different or if some of those limits doesn't exist.

Let's calculate the limits:

lim_{x\rightarrow 1^+}f(x)=lim_{x\rightarrow 1}(x+3)=1+3=4

lim_{x\rightarrow 1^-}f(x)=lim_{x\rightarrow 1^-}(x^2+4)=1^2+4=5

Since, lim_{x\rightarrow 1^-}\neq lim_{x\rightarrow 1^+} then f(x) is discontinuous in x=1.

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3 years ago
Differentiate: y=152+26−37 <br><br> dy/dx= answer
ozzi

Answer:

\frac{dy}{dx} y=0

General Formulas and Concepts:

<u>Calculus</u>

  • The derivative of a constant is equal to 0

Step-by-step explanation:

<u>Step 1: Define function</u>

y = 152 + 26 - 37

<u>Step 2: Simplify</u>

<em>Combine like terms</em>

y = 141

<u>Step 3: Find derivative</u>

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3 years ago
Find the length and perimeter of a rectangle if its width is 19 m and its area is 475 m?.
Allisa [31]

The length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

<h3>What is the Area and Perimeter of a Rectangle?</h3>

Area of a rectangle = (length)(width).

Perimeter of a rectangle = 2(length + width).

Give the following:

Width of rectangle = 19 m

Area of rectangle = 475 m²

Find the Length using the area formula:

475 = (length)(19)

475/19 = length

Length of the rectangle = 25 m

Find the perimeter of the rectangle

Perimeter of the rectangle = 2(25 + 19)

Perimeter of the rectangle = 2(44)

Perimeter of the rectangle = 88 m

Thus, the length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

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2 years ago
Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 20°, what is mangleCYD + mangleFZE?
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FZE = 70 degrees
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The average weight of 5 linemen is 215 pounds. The average weight of the 6 skill players is 187 pounds. What is the average weig
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199.73

Step-by-step explanation:

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