Answer:
Option D is correct.
Range of the function h(x)
Step-by-step explanation:
The range of the function is the set of all dependent variables for which function is defined
Given the function:
Let y = h(x)
then;
By cross multiply we have;
Using distributive property:
Add both sides we get;
or
Divide both sides (1+y) we get;
or
or
interchange x and y value we have;
To find the excluded value of the inverse function of h(x)
Equate denominator of the inverse function to 0.
x +1 = 0
x = -1
so, the domain of the inverse function is the set of all real values except -1
therefore, the function h(x) is the set of all real values except -1 i.e
Answer:
Width=5m
Lenght= 20m
Step-by-step explanation:
L= Lenght
W= width
perimeter = (2L + 2W) ......eqn(1)
From the question, length of the rectangle is 4 times of it's width
Then
L = (4W)........eqn(2)
But perimeter = 50
Fromeqn(1)
(2L + 2W)= 50........eqn(3)
Sub eqn(1) in eqn(3)
2(4W) + 2W = 50
8W + 2W= 50
10W= 50
W=5
From (1)
L = (4W)
L= 4×5= 20
Lenght= 20
170=2l+2w
l=w+5
w=l-5
170=2l+2(l-5)
170=2l+2l-10
180=4l
l=45
w=40
Answer:
-4
Step-by-step explanation: