An exponential function in mathematics is an exponential function is a function of the form where b is a positive real number, and in which the argument x occurs as an exponent. So its a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
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
Answer:
<h3>If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him is
minutes
Eating round the clock, it would take him is
</h3>
Step-by-step explanation:
Given that "In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes"
From the given we can write
13 buns
8 cheese
4 lettuces
3 tomatoes
∴ There would be different cheeseburger combinations is given by
Given that if the taste tester takes 10 minutes to eat a cheeseburger, then it would take him
minutes
Eating round the clock, it would take him
hours
Answer:
The final price paid by Samantha is 55.25 $
Step-by-step explanation:
In order to find out the final price of the jacket for Samantha we need to calculate how much 35% of 85 $ is and subtract the original price by it. So we have:
price of discount = 85*(35%) = 85*(35/100) = 85*(0.35) = 29.75 $
Now we can compute the final price by subtracting the original price by the price of discount. So we have:
final price = original price - price of discount = 85 - 29.75 = 55.25 $
