Answer: the restrictions on the domain of (u°v) (x) are x ≠ 2 and which v(x) ≠ 0.
Justification:
1) the function (u ° v) (x) is u [ v(x) ], this is, you have to apply first the function v(x) whose argument is (x), and later the function u (v(x) ) whose argument is v(x).
2) So, the domain of the composed function (u ° v) (x) has to take into account the values for which both functions are defined.
3) The domain excludes x = 2 because v(x) is not defined for x = 2.
4) And the domain must also exclude v(x) = 0 because u is not defined for v(x) = 0.
5) So, in conclusion, the domain is all the real values except x = 2 and the x for which v(x) = 0.
Therefore the resctrictions are x ≠ 2 and v(x) ≠ 0
Answer:
d) The possible value of n can be expressed as 15 < n < 25.
Step-by-step explanation:
Here, the given sides of the triangle are:
First Side = 20 cm
Second Side = 5 cm
Third side = n cm
Now ,as we know " SUM OF ANY TWO SIDES OF A TRIANGLE IS ALWAYS GREATER THAN THE THIRD SIDE"
⇒ Length of ( First + Second ) side > Third Side
or,( 20 cm + 5 cm ) > n cm
or, n < 25 cm
Now, from all given options,
15 < n < 25 is the MOST APPROPRIATE.
Hence, the possible value of n can be expressed as 15 < n < 25.
Answer:
1)2/3d0 Find the value of X satisfying the mean-value theorem. x?dx ...
<h3>
Answer: C. g(x) = x^4 - x^2 + 0.5</h3>
Why is this?
We start with x^4 - x^2, which is the original f(x) function. Adding some number to this result will increase the y coordinate of any point on the f(x) function. This is because y = f(x). The only thing that matches is choice C, where we shift the graph up 0.5 units. We say that g(x) = f(x) + 0.5
Choice D goes in the opposite direction, and shifts the graph down 0.5 units.
Choices A and B shift the graph horizontally to the right 0.5 units and to the left 0.5 units respectively.
Answer:
Step-by-step explanation:
The initial expression is:
Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:
Remember that if there is a negative sign, it will change the signs of the terms within the brackets.
Then, collecting like terms: