Answer:
Answer and steps in picture.
The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the l
1 answer:
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Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:
Where k is the constant of proportionality.
Solve for x
<u>Testing the given options</u>
A) (4,1)
B) (8,12)
C) (12,3)
D) (20,5)
E) (12,6)
Answer:
<em>The last is the correct option</em>
<em>"all real values except x not-equals 7 and the x for which f (x) not-equals negative 3"</em>
Step-by-step explanation:
<u>Domain and Range of Functions</u>
Given the function f(x), the domain of f is the set of all the values that x can take such f(x) exists. The range of f is the set of all the values that f takes.
We have a problem where we have to find the domain of a composite function. Let's recall that being f and g real functions, then
is the composite function of f and g.
We know the domain of f is the set of all real values except 7, and the domain of g is the set of all real values except –3.
Since f is the innermost function, the domain of the composite function is directly restricted by the domain of f. So, x cannot be 7.
Now, g takes f as its independent variable, and we know the domain of g excludes -3. It can be found that f(x) cannot be -3 because it will cause g not to exist.
Thus, the domain of is
All real numbers except x=7 and those where f(x)=-3
The last is the correct option