Given f(x) = radical x-2 and g(x) = x2 – x – 6. Find (f – g)(6).
A. -26
B. 26
C. -22
D. 22
E. 2
To find the value of (f - g)(6), we need to substitute 6 into both f(x) and g(x) functions and then subtract the results.
First, let's substitute 6 into the f(x) function:
f(x) = √(x - 2)
f(6) = √(6 - 2)
f(6) = √4
f(6) = 2
Now, substitute 6 into the g(x) function:
g(x) = x^2 - x - 6
g(6) = 6^2 - 6 - 6
g(6) = 36 - 6 - 6
g(6) = 36 - 12
g(6) = 24
Finally, subtract the results:
(f - g)(6) = f(6) - g(6)
(f - g)(6) = 2 - 24
(f - g)(6) = -22
Therefore, the correct answer is C. -22.