Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
A: Not rational, because a rational number is any integer, fraction, terminating decimal, or repeating decimal. This does not show that.
B: In between 13 and 15, (200 rooted is 14.1) I know this because if you simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
C: He should make each side about 3.76 feet long. Because, 3.76^4 is 200, therefore it would become 200 square feet if each side is 3.76 feet long.
Step-by-step explanation:
According to given information,
Equation of Melinda Earning = 75 + 12x
Equation of Marcus Earning = 15x
Where, x = Number of hours they worked.
Now, we need to calculate when they will have same amount of money, so for that instance they shall equal to each other.
75 + 12x = 15x
15x - 12x = 75
3x = 75
x = 75/3
x = 25
After 25 hours, they will have the money = 15(25) = $375
So, your final answer is $375
Hope this helps!
Answer:
219m
Step-by-step explanation:
Since the man observes the car with angle 15 before observing in 33 degrees.
For the first observation
The angle observation gives an angle if 33 degrees with the horizontal.
It gives a triangle which I'll attach to the que,
from the first triangle
Tan 33 = 100/y
Y= 100/ tan 33
Y = 153.99m.
This is the distance from the building to the distance where it was secondly observed( 33).
To find x
tan 15 = 100/(153.99+x)
153.99 + x = 100/ tan 15
153.99 + x = 373.21
The distance between the two observed angles
X= 219m.
Answer:
the side s is 18
Step-by-step explanation:
s=?
Area of square(A)=324
Now,
A=s²
324=s²
√(324)=s
s=18
