SOLUTION: Given the function f(x)=3x-4, evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and (d) f(1/3). a.My answer for this is 3x-10 b.? c.? d.-3 ?

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Question 1121104: Given the function f(x)=3x-4,
evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and (d) f(1/3).
a.My answer for this is 3x-10
b.?
c.?
d.-3 ?
Found 2 solutions by solver91311, rothauserc:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Your answers for part a and d are correct, so clearly you understand the concept of evaluating a function at a given value. So what is it you don't understand about parts b and c?

John

My calculator said it, I believe it, that settles it

Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
f(x) = 3x -4
:
(a) f(x-2) = 3(x-2) -4 = 3x -6 -4 = 3x -10
:
(b) f(x) -f(2) = 3x -4 -(3*2 -4) = 3x -4 -6 +4 = 3x -6 = 3(x -2)
:
(c) f(1)/f(3) = (3 *1 -4)/(3*3 -4) = -1/5
:
(d) f(1/3) = 3 * 1/3 - 4 = -3
: