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diamong [38]
3 years ago
12

State the domain of the rational function. (2 points)

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

All real numbers except 4.

Step-by-step explanation:

The given function is

f(x)=\frac{6}{4-x}


This is a rational function.


The domain of a rational function is all real numbers except values that will make the denominator zero.


The denominator of the given function is 4-x.


So the domain is all real numbers except

4-x=0

We solve for x to obtain,

4=x or x=4.


Therefore the domain is all real numbers except x=4.

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Find the range of the graphed function.
rusak2 [61]

Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.

Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.

That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)

Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)

Take a look at line graph as an example of range being set of all real numbers, or cubic function.

Answer/Conclusion

  • The range exists from negative value which is -9 to the maximum value which is 5.
  • That means the range is -9<=y<=5

3 0
2 years ago
What is the value of 6/x + 2x2, when x = 3?
aliina [53]
Replace x = 3 into <span>6/x + 2x^2

</span>6/x + 2x^2

=6/3 + 2 (3)^2
= 2 + 2(9)
= 2 + 18
= 20
3 0
3 years ago
Joakkm is icing 30 cupcakes. He spreads mjnt icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining. The rest will g
VladimirAG [237]

Answer:

12 cupcakes will have vanilla icing

Step-by-step explanation:

1/5 of 30 = 6

30- 6 = 24

24/ 2 = 12

6 mint icing

12 chocolate icing

12 vanilla icing

4 0
3 years ago
Read 2 more answers
1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5
Elenna [48]
Rewrite it as y=6x-7/5

Flip the x and y
x=6y-7/5

Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y

f^-1(x)=5/6x+7/6
4 0
3 years ago
Solve: x ÷ 0.6 = 8.9
alisha [4.7K]

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

7 0
2 years ago
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