Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
Okay! You’re a girl right? Lol
Answer:
42x-24y-5
Step-by-step explanation:
We can start by using the distributive property.
This will help us rewrite the expression, since the terms in the parentheses can't be combined.
I'll attach an image to better explain this.
When using it, we'll get:
6*7x+6*-4y-5
Simplify.
42x-24y-5
This is our final answer since there are no like terms that can be combined.
The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.
<h3>What is a line segment?</h3>
A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.
Now, an 'angle' is formed by two rays having a common end-point.
As the angle has a common endpoint,
Therefore it is not possible to form an angle by intersecting two rays having different endpoints.
Hence, option D is correct.
Learn more about line;
brainly.com/question/3455295
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