Answer:
C
Step-by-step explanation:
The function f(g(2)) is an illustration of a composite function
The value of f(g(2)) is 2
<h3>How to determine the value of the function f(g(2))?</h3>
Given:
The table of values for functions f(x) and g(x)
To calculate f(g(2)), we start by calculating g(2)
From the table;
g(2) = 6
So, we have:
f(g(2)) = f(6)
From the table;
f(6) = 2
So, we have:
f(g(2)) = 2
Hence, the value of f(g(2)) is 2
Read more about composite functions at:
brainly.com/question/10687170
Both the numerator and denominator are divisible by 4, meaning that when they are both divided by this number they wll be in their simplest form.
e.g. 8/4=2 and 20/4=5
Therefore the simplest form is 2/5
Answer:
The distance between (0,3) and (7,3) is 7
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
