SOLUTION: It says "find f(x)=0" what does it mean? The porblem: f(x)=3x-12

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Question 75570This question is from textbook
: It says "find f(x)=0" what does it mean?
The porblem:
f(x)=3x-12
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since we're looking for f(x)=0, we're looking for y=0 since y and f(x) can be interchanged. In other words, we are looking for the x-intercept, since y=0 for all x-intercepts. So we substitute 0 in for f(x) and we get:
0=3x-12 Now we solve for x
0%2B12=3x%2Bcross%28-12%2B12%29 Add 12 to both sides
12%2F3=cross%283%2F3%29x Divide both sides by 3. This will isolate x.
x=4
So if we let x=4 we should get f(x)=0, in other words, f(4)=0. So lets verify this:


Check:
f%28x%29=3x-12
f%284%29=3%284%29-12 Plug in x=4
f%284%29=12-12
f%284%29=0 works
This verifies our answer
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x-12%29+Here you can see the graph of y=3x-12 and the x-intercept of (4,0)