Answer:
Please check the explanation.
Step-by-step explanation:
Given
a)
f(x) + g(x) = (2x - 1) + (2 - x)
= 2x -1 + 2 - x
= x + 1
b)
f(x) - g(x) = (2x - 1) - (2 - x)
= 2x - 1 - 2 + x
= 3x - 3
c)
g(-5) - f(-5)
Putting x = -5 in g(x) = 2 - x
g(x) = 2 - x
g(-5) = 2 - (-5) = 2+5 = 7
Putting x = -5 in f(x) = 2x - 1
f(x) = 2x - 1
f(-5) = 2(-5) - 1
= -10 - 1
= -11
Thus,
g(-5) - f(-5) = 7 - (-11) = 7+11 = 18
d)
f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2
e)
f(g(x)) = f(2-x)
= 2(2-x)-1
= 4-2x-1
= 3-2x
<span>4x^2 - 25
= (2x)^2 - 5^2 .................using a^2 - b^2 = (a+b)(a-b)
= (2x + 5)(2x - 5)</span>
Answer:
The answer to your question is: (3x + 5)(9x² - 15x + 25)
Step-by-step explanation:
Data
G(x) = 27x³ + 125
This is a sum of cubes
Process
![\sqrt[3]{27} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%20%3D%203)
![\sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%20%3D%205)
27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)
Mean: 4 [(4+8+6+4+4+1+1)/7]
median: 4 [1 1 4 4 4 6 8 the number in the middle is 4
mode: 4 [ there are 3 fours which is the most out of all the numbers]
range: 7 [8-1=7]
