QPR = 1/2 (31 + 98)
Angle QPR = 64.5 degrees
Answer:
x is less than or equal to -2
Step-by-step explanation:
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
By the chain rule, if , then
We have , for which
•
•
and and , so that
•
•
Putting everything together, we get
For f(x) we have:
- domain: set of all real numbers.
- range: set of all real numbers.
And for g(x):
- domain: set of all real numbers
- range: set of all real numbers such that y ≥ 5.
<h3>
How to get the domain and range of each function?</h3>
The domain of a function is the set of inputs that we can use on the function, and the range is the set of outputs.
a) f(x) = -2x
This is just a linear equation, as you can see, for no value of x we have a problem, then the domain is the set of all real numbers.
Similar for the range, it covers the set of all real numbers, then:
- domain: set of all real numbers.
- range: set of all real numbers.
b) g(x) = 0.5*x² + 5
This is a quadratic function, so the domain is the set of all real numbers again.
Now the range will have a minimum, which is at the vertex of the parabola.
For the parabola the vertex is at x = 0:
g(0) = 0.5*0² + 5 = 5
Then the range is the set of all real numbers equal to or larger than 5.
- domain: set of all real numbers
- range: set of all real numbers such that y ≥ 5.
If you want to learn more about domain and range:
brainly.com/question/10197594
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