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a) Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) = g(x).

b) Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) > g(x). Write your answer in interval notation.

 Mar 25, 2023
 #1
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a) The solutions are x = -1 and x = 1.

 

b) The solution is -1 < x < 1, or in interval notation, (-1,1).

 Mar 25, 2023
 #2
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That's what I got for a) too, but it's shown as wrong

Guest Mar 25, 2023
 #3
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The same goes for b).

Guest Mar 25, 2023
 #4
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For part (a), there is a third value for x, x = 0.

For part (b), f(x) = g(x) when x= 0 and so cannot be included in the interval.

Tiggsy  Mar 25, 2023

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