For this case we must find the inverse of the following function:
For this, we follow the steps below:
We change f (x) to y:
We exchange the variables:
We solve for y:
We divide between 8 on both sides of the equation:
We raise both sides of the equation to the square to remove the root:
So, the inverse is:
ANswer:
Option C
Answer:
The equation to determine the length is .
The Length of the exercise mat is 16 feet.
Step-by-step explanation:
Given:
Perimeter of Rectangular mat =
Let the length of the mat be denoted by 'l'
And width be denoted by 'w'.
Also Given:
The length of the mat is twice the width of the mat.
So we can say that;
⇒ equation 1
Now we know that;
Perimeter of Rectangle is equal to twice the sum of length and width.
framing in equation form we get;
⇒ equation 2
Now Substituting equation 1 in equation 2 we get;
Applying Distributive property we get;
Hence, The equation to determine the length is .
On Solving the above equation we get;
Dividing both side by 6 we get;
Now Substituting the value of 'w' in equation 1 we get;
Hence The Length of the exercise mat is 16 feet.