familygrahambusiness
20.12.2020 •
Mathematics
Given the functions f(x) = 2x -1 and g(x) =
2-x, find; (25 pts)
a) f(x) + g(x) b) f(x) – g(x)
- f(-5) d) f(x).g(x) e) f(g(x))
c) g(-5)
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Ответ:
Please check the explanation.
Step-by-step explanation:
Given
f(x) = 2x - 1g(x) = 2 - xa)
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
Ответ:
c
Step-by-step explanation: