SOLUTION: if f(4)=0 and f(6)=6, which of the following could represent f(x)? A. 2/3x-4 B. x+2 c. x-4 D. 3x-12 could u show me how to work this out and find the answer?

Algebra ->  Functions -> SOLUTION: if f(4)=0 and f(6)=6, which of the following could represent f(x)? A. 2/3x-4 B. x+2 c. x-4 D. 3x-12 could u show me how to work this out and find the answer?      Log On


   

Question 135693: if f(4)=0 and f(6)=6, which of the following could represent f(x)?
A. 2/3x-4
B. x+2
c. x-4
D. 3x-12

could u show me how to work this out and find the answer?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
To work this problem, substitute the given values for x into each of the 4 possible answers. Then pick the one(s) that work.
Given: f%284%29=0+and+f%286%29=6
2/3x-4
f%286%29+=+%282%2F3%29+6+-+4 = 4+-4 = 0 != 6. A is out
x+2
f%284%29+=+4+%2B+2 = 6 != 0 . B is out
x-4
f%284%29+=+4+-4+ = 0. so far so good. f%286%29+=+6-4 = 2 != 6. C is out
3x-12
f%284%29+=+3%2A4+-+12+ = 0. so far so good. f%286%29=+3%2A6+-+12%29 = 18-12 = 6. D works