Answer:
x = 19
Step-by-step explanation:
just subtract 1 from both sides of the equation
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:

Step-by-step explanation:
We want to write the equation of a line in point-slope form.
This is given by:

We have that line passes through (3,2).
Assuming the line has a slope of m=3, then the equation in point slope form is:

Answer: 416 in^2
Step-by-step explanation:
a. Area of the Triangle x 2 + Area of Rectangle x 3
b. 8 x 7 / 2 x 2 + 8 x 15 x 3 = 56 + 360 = 416 in^2
Answer: The answer is <em><u>-2</u></em>
Step-by-step explanation:
that is where the line starts
hope this helped