Who do I solve this? Please help!
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Answer:
[tex]g(1) = \boxed{1}[/tex]
Step-by-step explanation:
The given function g(x), is a piecewise function which has different definitions for different x intervals
We are asked to find the value of g at x = 1 i.e. g(1)
Note that when x is not equal to either -2 or -1, the function definition is
[tex]g(x) = x^3 - x^2 + 1[/tex]
Since [tex]x = 1[/tex] follows the property [tex]x \ne -2, -1[/tex] the correct definition to use is
[tex]g(x) = x^3 - x^2 + 1[/tex]
Therefore
[tex]g(1) = 1^3 - 1^2 + 1\\\\[/tex]
[tex]g(1) = 1 - 1 + 1\\\\[/tex]
[tex]g(1) = \boxed{1}[/tex]