iven, f(x) = 2 − x and g(x) = −2x + 3, then what is the value of (2f − g)(2)?a.1b.-1c.2d.-2Clear my choice
Question
Given,
f(x) = 2 − x
g(x) = −2x + 3,
then what is the value of (2f − g)(2)?
a. 1
b. -1
c. 2
d. -2
Clear my choice
Solution
First, we need to find the values of f(2) and g(2).
Given, f(x) = 2 - x So, f(2) = 2 - 2 = 0
And, g(x) = -2x + 3 So, g(2) = -2*2 + 3 = -4 + 3 = -1
Now, we need to find the value of (2f - g)(2). This means 2 times the value of f(2) minus the value of g(2).
So, (2f - g)(2) = 2f(2) - g(2) = 20 - (-1) = 0 + 1 = 1
So, the value of (2f - g)(2) is 1. Therefore, the answer is a.1.
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