Answer:
Final answer is
.
Step-by-step explanation:
given functions are
and
.
Now we need to find about what is the value of
.
simply means we need to multiply the value of
and
.


Hence final answer is
.
Answer:
Step-by-step explanation:
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer
Answer:
x = 7
Step-by-step explanation:
In this question, we need to find what the value of x is.
To do so, we need to find the value of the change of the triangle, since the triangles are basically the same
We know to get from 18 to 27, we would need to multiply 18 by 1.5.
This means that the triangle "BCD" is increasing from 1.5 to get "JKL"
With this knowledge, we also know that side CB, 10, needs to increase by 1.5
When you multiply 10 by 1.5, you get 15.
The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.
To do this, solve 3x-6 for 15.
3x - 6 = 15
Add 6 to both sides.
3x = 21
Divide both sides by 3
x = 7
The x-variable would be 7.