The triangle and the square have equal perimeters. 1.Find the value of x. 2.What is the perimeter of each of the figures? ●What
expression represents the perimeter of the triangle? The perimeter of the square? ●What was your strategy in making an equation? ●What does X mean in the situation? ●Looking at the figures, are there any values that X could not be? Explain your reasoning. ●How does this information help when solving?
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Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
Given a function f(x), the inverse of f, called is a function that satisfies:
The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:
Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):
Multiplying by 2:
Squaring both sides:
Subtracting 3:
Swapping variables:
Thus:
The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0