SOLUTION: Please help me solve this equation: The function f is defined by f(x)=|x-2|-3. if f(a)=f(0) and a>0, what is the value of a?

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Question 1036740: Please help me solve this equation:
The function f is defined by f(x)=|x-2|-3. if f(a)=f(0) and a>0, what is the value of a?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(0) = | 0 - 2 | -3
:
f(0) = 2 - 3 = -1
:
f(a) = -1
:
| a - 2 | - 3 = -1
:
1) a - 2 - 3 = -1
:
a = 4
:
2) -(a - 2) -3 = -1
:
-a + 2 -3 = -1
:
-a = 0
:
a = 0
:
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a > 0, then a = 4
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