If f(x)=3^x+10x and g(x)=4x-2, find (f-g) (x).
A.3^x+14x-2
B.17x-2
C. 3^x-6x+2
D. 3^x+6x+2
To find (f-g)(x), we simply need to subtract g(x) from f(x):
(f-g)(x) = f(x) - g(x)
Given that f(x) = 3^x + 10x and g(x) = 4x - 2, we can substitute these into the above expression:
(f-g)(x) = (3^x + 10x) - (4x - 2)
(f-g)(x) = 3^x + 10x - 4x + 2
(f-g)(x) = 3^x + 6x + 2
Therefore, the correct answer is:
D. 3^x + 6x + 2