Question 1161110
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The notation f(3) means f(x) when x = 3. We replace x with 3. Since x = 3, we need to look where this fits.


We have "if x < 0", but x = 3 is not smaller than zero. So we move onto the next piece which has {{{x >= 0}}}. This second piece says "when {{{x>=0}}}, we have f(x) = 2x-1"


So we plug x = 3 into this to get
f(x) = 2x-1
f(3) = 2(3)-1
f(3) = 6-1
<font color=red>f(3) = 5</font>


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Similarly, x = 0 makes {{{x >= 0}}} true, so we use the second piece still


f(x) = 2x-1
f(0) = 2(0)-1
f(0) = 0-1
<font color=red>f(0) = -1</font>


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Finally, we want to find the value of f(x) when x = -2. This time we don't use the second piece. This is because x = -2 makes {{{x < 0}}} true.


So,
f(x) = 1-x
f(-2) = 1-(-2)
f(-2) = 1+2
<font color=red>f(-2) = 3</font>
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