Answer:
Identity function
Step-by-step explanation:
We are given the following in the question:
Let f(x) be a function.
Then, inverse of f(x) can be written as:
The composition function of the function and the reverse function can be found as:
which is an identity function.
Thus, the correct answer is
The identity function, f(x) = x, is formed by the composition of a function and its inverse.
Answer:
2520 patterns
Step-by-step explanation:
In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.
Therefore, for non identical arrangements:
= 2520
Therefore, the books can be arranged on a shelf in 2520 patterns
Answer: hypotenuse =
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side () of the right triangle, .i.e.:
In this question:
=
2bc
Substituing and taking square root to find hypotenuse:
Calculating:
=
, then:
Hypotenuse for the right-angled triangle is units