Answer:
The restriction of the domain of f(g(x)) is that x cannot be 3.
Step-by-step explanation:
The first step to solve this question is finding the function, replacing the values. So
The function is a fraction, which means that the restriction is that the denominator cannot be zero. So
The restriction of the domain of f(g(x)) is that x cannot be 3.
Answer:
The Pythagorean Theorem is used for right triangles only, because it's a mathematical relation between the legs of the triangle and the hypothenuse, where each leg must be less than the length of the hypothenuse.
It's important to correctly identify each element of the triangle, that is, which sides are legs, and which side is the hypothenuse, because the Pythagorean Theorem has a specific order, that means, if we make a mistake identifying each element, then the result will be wrong.
For example, the expression is the theorem, where
is the hypothenuse. This theorem states that the square of the hypothenuse (longest side) is equal to the sum of the square of the legs. So, if we call
a leg instead of the hypothenuse, the theorem won't work.