Find the circumference of the circle if the radius is 4 inches
2 answers:
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Consider the functions m and n:
i)
for x≠1.
the domain of m is all the real numbers except 1.
ii) n(x)=x-3 is a polynomial function, because x-3 is a linear polynomial.
The domain of any polynomial function is all real numbers. To determine the Range of this function, let c be a value in the range:
x-3=c, then x=3+c.
so if we want the function to produce c, we just set x=3+c, check:
n(3+c)=(3+c)-3=c.
This means that the Range of n is all real numbers.
What this means, is that the input (x) of the function n(x) can be any real number, and the output (n(x)) can also be any number.
so let n(x)=a, consider m(a):
m(a)=(a+5)/(a-1), clearly a≠1, this means n(x)=x-3≠1, that is x≠-4
This means that the domain of the composed function, m(n(x)) = say f(x),
is all Real numbers except 4.
Check: letting x be 4, would mean n(4)=4-3=1
which would mean m(n(4))=m(1)=(1+5)/(1-1)=6/0, which makes no sense.
Answer: Any function with domain R-{4}, has the same domain of (mon)(x)
i)
the domain of m is all the real numbers except 1.
ii) n(x)=x-3 is a polynomial function, because x-3 is a linear polynomial.
The domain of any polynomial function is all real numbers. To determine the Range of this function, let c be a value in the range:
x-3=c, then x=3+c.
so if we want the function to produce c, we just set x=3+c, check:
n(3+c)=(3+c)-3=c.
This means that the Range of n is all real numbers.
What this means, is that the input (x) of the function n(x) can be any real number, and the output (n(x)) can also be any number.
so let n(x)=a, consider m(a):
m(a)=(a+5)/(a-1), clearly a≠1, this means n(x)=x-3≠1, that is x≠-4
This means that the domain of the composed function, m(n(x)) = say f(x),
is all Real numbers except 4.
Check: letting x be 4, would mean n(4)=4-3=1
which would mean m(n(4))=m(1)=(1+5)/(1-1)=6/0, which makes no sense.
Answer: Any function with domain R-{4}, has the same domain of (mon)(x)
The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :
1.)
Time on mathematics =<em> 1 hour</em>
Time on science homework = <em>7/8</em><em> hours</em>
Total time spent = (1 + 7/8) =
2.)
Total number of students = <em>60</em>
Fraction of girls = <em>3/4</em>
Fraction of boys = 1 - 3/4 = 1/4
Number of boys = 1/4 × 60 = 15 boys
3.)
Initial temperature = <em>- 2°C</em>
Final temperature = <em>8°C</em>
Change in temperature = Final temperature - Initial temperature
Change in temperature = (8 - (-2)) = 8 + 2 = 10°C
4.)
Elevation of everest = <em>20028 feets </em>
Elevation of dead sea =<em> - 485 feets</em>
Difference in elevation = (20028 - (-485)) = 20513 feets
5.)
Question is missing key values.
Learn more : brainly.com/question/10483418