Answer:
The arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f g)(x) = ,
Solution:
Given, two functions are f(x) = x + 2 and g(x) = x – 2
We need to find the arithmetic combinations of given two functions.
Arithmetic functions of f(x) and g(x) are (f + g)(x), (f – g)(x), (f g)(x),
Now, (f + g)(x) = f(x) + g(x)
= x + 2 +x – 2
= 2x
Therefore (f + g)(x) = 2x
similarly,
(f - g)(x) = f(x) - g(x)
= x + 2 –(x – 2)
= x + 2 –x + 2
= 4
Therefore (f - g)(x) = 4
similarly,
(f g)(x) = f(x) g(x)
= (x + 2) (x – 2)
= x (x – 2) + 2 (x -2)
Therefore (f g)(x) =
now,
=
Hence arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f g)(x) = ,
Please pleas
Answer:
Step-by-step explanation:
Note the = 2 and = 5
Thus
= =
Answer:
2/5
Step-by-step explanation:
8 = 2^3
125 = 5^3