The correct answer is D since a function can only map one input one output.
Jane = x years
Tom = x+8
*5 Years Ago
Jane= x-5
Tom= (x+8)-5=>x+3---------------------------
x+3=3(x-5)<span>x+3=3x-15
3x-x=18
2x=18
x=9
Jane = 9 years
Tome = 9+8 = 17 years</span>
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: 1. 4, 2. 2,
Step-by-step explanation: The small tire would make about 4 rotation, the big tire wold make about 2 rotations
Hope this helps :)
Answer:
Step-by-step explanation:
A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.
In this case, the reference line is y = -x - 1. It has a slope of -1. The negative inverse of this would be -(1/-1) = 1.
We can then write:
y = mx + b
y = 1x + b
To find b, enter the one given point that lines on the line, (-4,2).
y = 1x + b
y = 1x + b for (-4,2)
2 = 1(-4) + b
b = 6
The equation becomes y = x + 6
See attached.