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natima [27]
3 years ago
13

Evaluate the piecewise function at the indicated value from the domain: f(x)=[1/x, if x<-2 x^2, if x> with the equal sign

on the bottom -2 at x=-3
A) f(-3)=4
B) f(-3)=9
C) (-3)= -1/3
D) f(-3)= -1/2
Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

C. f(-3)=\dfrac{-1}{3}

Step-by-step explanation:

We are given the piecewise function as follows

f(x)=\left\{\begin{matrix}\dfrac{1}{x}, &x

It is required to find the value of f(-3).

Since, we know that -3 < -2.

So, the function corresponding to x= -3 is given by,

f(x)=\dfrac{1}{x}.

Thus, we get,

f(-3)=\dfrac{1}{-3}=\dfrac{-1}{3}

Hence, option C is correct.

9966 [12]3 years ago
4 0
The answer is B. I hope I've helped you.
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What is the square root of 405x^3​
blagie [28]

Answer:

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Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors.

9x√ 5x

6 0
2 years ago
How do i simplify this: (8 2/3)^4
Serggg [28]

Answer:
5641 55/81

Step-by-step explanation:

you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
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5641 55/81

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3 0
1 year ago
Hugh bought some magazines that cost $3.95 each and some books thst cost $8.95 each he spent a total of $47.65 if Hugh bough 3 m
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4 0
3 years ago
The difference of -3/4 - (-5/9)
Natali [406]

Answer:

−  

7

36

≈negative 0.194−0.194

Step-by-step explanation:

Step 1 of 2: Subtract.

Subtract

(negative 3 over 4 −  

3

4

) − (negative 5 over 9 −  

5

9

) = negative 7 over 36−  

7

36

Step 1 of 2: Subtract, sub-step a: Subtract a negative.

Subtract a negative

negative 3 over 4−  

3

4

− (negative 5 over 9 −  

5

9

) = negative 3 over 4−  

3

4

+ 5 over 9

5

9

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.

Find common denominator

negative 3 over 4−  

3

4

+ 5 over 9

5

9

= −( 3 × 9 ) over ( 4 × 9 )

3 × 9

4 × 9

+ ( 5 × 4 ) over ( 9 × 4 )

5 × 4

9 × 4

= negative 27 over 36−  

27

36

+ 20 over 36

20

36

36 is the least common multiple of denominators 4 and 9. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.

Add

negative 27 over 36−  

27

36

+ 20 over 36

20

36

= ( negative 27−27 + 20 ) over 36

negative 27−27 + 20

36

= negative 7 over 36−  

7

36

3 0
3 years ago
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