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
0.3 x 103 = 30.9
0.3 x 1025 = 307.5
3 x 10^5 = 300,000
The answer is a = 0, b = -5, and c= 39.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
A quadratic equation means that it should have at least one squared term.
<u>step 2</u> :
The standard form is ax² + bx + c = 0.
<u>step 3</u> :
The solution to the quadratic equation is usually written in the form
x = (-b ± √(b2 − 4ac))/(2a)
where a = coefficient of x^2
b = coefficient of x
c = constant term
<u>step 4</u> :
The given equation is -5x +32.
∴ The answer is a = coefficient of x^2 = 0
b = coefficient of x = -5
c = constant term = 39
If you divide 40 and 5 it equals $8 for 1 student ticket
The answer is 221. And it’s solved with PEMDAS
