-6*(t+8)= -6 * t + (-6) * 8 = -6t-48
Answer:
I would say C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
× 45 = 4 × 9 = 36 ← Marlina's books
× 45 = 2 × 15 = 30 ← Daniel's books
36 - 30 = 6
Marlina has 6 more novels than Daniel → C
Answer:
2790 college students
Step-by-step explanation:
30 to 2
15 to 1
186 times 15
equals 2790 students
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x³ + 4x²
g(x) = 5x² - 1
(a). (f + g)(x) = f(x) + g(x)
= x³ + 4x² + 5x² - 1
= x³ + 9x² - 1
Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)
(b). (f - g)(x) = x³ + 4x² - (5x² - 1)
= x³ - x² + 1
Domain of the function : (-∞, ∞)
(c). (f.g)(x) = f(x) × g(x)
= (x³ + 4x²)(5x² - 1)
= 5x⁵+ 20x⁴ - x³ - 4x²
Domain of the function will be (-∞, ∞).
(d). ![(\frac{f}{g})(x)=\frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
= ![\frac{x^3+4x^2}{5x^2-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%2B4x%5E2%7D%7B5x%5E2-1%7D)
Since this function is not defined at [5x² - 1 = 0] Or x = ±![\frac{1}{\sqrt{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%7D)
Therefore, Domain of the composite function will be,
(-∞, -
) ∪
∪ (
, ∞)