The domain of g alone is {x | x ≠ 0}, and the domain of f is all reals. So the domain of (f ◦ g) is the domain of g
{x | x ≠ 0}.
(f ◦ g)(x) = 1/x + 3.
The range of g(x) = 1/x is actually the same as its domain {y | y ≠ 0}. Adding three, the range of f ◦ g is all reals except for 3,
{y | y ≠ 3}
The line y = 3 is actually an asymptote (horizontal) to the graph of f ◦ g.
Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Answer:
the answer is yes
Step-by-step explanation:
your ratio..40:5
friends ratio..56:7
each quantity is 8
Answer:
Each bike with both types of tire.
Half of the tires of each type will be in the front wheel and the other half in the rear wheel.
Step-by-step explanation:
To compare the wear of each type of tire in a matched-pair test, the individuals have to test each of the tires in the same conditions.
This will allow to compare the tires wear in equal conditions. If the tires are assigned randomly to the volunteers, there will be difference in the wear due to difference habits of the bikers.
The only way to implement a matched-pair test with bikes is to use one type of tire in the front wheel and the other type in the rear wheel. Half of the tires of each type will be in the front and half in the rear.
In this way, the distance traveled with each type of tire will be the same.
Answer:
300 cupcakes
Step-by-step explanation:
