Answer:
The inverse is g(x)=-x+5.
Both f and g have domain and range all real numbers.
In interval notation that is
Step-by-step explanation:
f(x)=-x+5 is a linear function.
Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.
For any linear function, the domain will be all real numbers.
So to find the inverse of y=-x+5, you interchange x and y and resolve for y.
y=-x+5
(interchange)
x=-y+5
(solve for y)
Subtract 5 on both sides:
x-5=-y
Multiplying both sides by -1:
-x+5=y
So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped. The sets were the same here because they were both all real numbers.
Answer:
Domain of this function become R
Step-by-step explanation:
Answer:
The average time to commute to work is 25 minutes.
Step-by-step explanation:
If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.
B. 6/41
C. 41/60
D. 11/12
Answer:
36
Step-by-step explanation:
6 squared
Answer:
A= 36
Step-by-step explanation:
1. Use properties of logarithms with the given approximations to evaluate the expression. Use log2=0.693 and/or log6=1.792 to find log12.
Answer: log12 = log6 + log2 = 1.792 + 0.693 = 2.485.
2. Complete parts (a) and (b).
a. Write the inverse of y=8x in logarithmic form.
Answer: log8(y) = x.
b. Graph y=8x and its inverse and discuss the symmetry of their graphs.
Answer: The graph of y=8x and its inverse will have the same shape, but it will be flipped across the line y = x. This is known as the symmetry of their graphs.
3. 2log215 EVALUATE Use properties of logarithms with the given approximations to evaluate the expression. log3≈0.477 and log5≈0.699. Use one or both of these values to evaluate log27. Write as a single logarithm. Assume that variables represent positive numbers. 5log2x+2log2z
Answer: log27 = log5 + log3 = 0.477 + 0.699 = 1.176.
4. On the basis of data for the years 1918 through 1997, the expected life span of people in a country can be described by the function f(x) = 12.576ln x + 17.088 years, where x is the number of years from 1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?
Answer: This model estimates that the life span for people born in 1941 is 70.698 years.
For further information on Logarithms, refer below:
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