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ollegr [7]
3 years ago
10

If the composition of two functions is:

Mathematics
1 answer:
NARA [144]3 years ago
8 0

9514 1404 393

Answer:

  x ≠ 3

Step-by-step explanation:

In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.

The domain is all real numbers except x=3.

_____

<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

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Which equation has the same solution as x2 – 6x – 14 = 0?
grandymaker [24]
4x would be your answer
4 0
3 years ago
What is 36 to 21 ratio in simplest form?
OLga [1]
36:21 in simplest form is 12:7, because 3 goes into both 36 and 21. Simplifying ratios is essentially the same thing as simplifying fractions. Once we have 12:7, we can't reduce any further, because 7 is prime.

Hope this helps!
7 0
3 years ago
What is the solution to the system of equations?<br><br> 6x – 9y = 16<br><br> 2x – 3y = 7
kifflom [539]
The first step for solving this problem is to multiply both sides of the bottom equation by -3.
\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
-9y + 9y = 16 - 21
Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
0 = -5
This means that the statement \left \{ {{6x-9y=16} \atop {2x-3y=7}} \right. is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
:)
8 0
3 years ago
If f(x) = 3 – x2, find f(-2).
Rufina [12.5K]

Answer:

f(- 2) = - 1

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 3 - (- 2)² = 3 - 4 = - 1

4 0
3 years ago
Can anyone please help me!
Alexxx [7]

Answer:

2

Step-by-step explanation:

(4)(−2)+10

=−8+10

=2

5 0
3 years ago
Read 2 more answers
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