Answer:
Y = 21 [Small number].
X = 32 [Big number].
Step-by-step explanation:
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
Take log on both sides with base as " 10" . We have ,
Simplify using the property of log , , we have ,
Simplify ,
Again simplify using the property of log ,
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
Simplify the RHS ,
Add 2 both sides ,
Hence the Value of x is 3.30 .
We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:
Let us find slope of the line through these points:
Therefore, we can write the equation of line in slope intercept form as:
Where b is the y intercept, and we can find its value using one of the two points.
Therefore, the required equation of the linear function is:
There are 60 buses, each has 34 students
So we would multiply to find our answer. 34*60=2040
