PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

g(-3) = 2

Step-by-step explanation:

g(x) = |x| - 1, x < 1        You would use this equation for finding g(-3). Since -3 is less than 1.

g(x) = |x| - 1, x < 1     ← You can ignore the x<1 part.

g(-3) = |-3| - 1            Input the value -3 as x. The absolute value of x is always  g(-3) = 3 - 1               positive.

g(-3) = 2                    Simplified

Next,

g(x) = x²- 10, 1 ≤ x ≤ 3     You would use this equation for finding g(3). Since 3 is equal to 3.

g(x) = x²- 10, 1 ≤ x ≤ 3  ← You can ignore the 1 ≤ x ≤ 3 part.

g(3) = (3)²- 10                   Input the value 3 as x.

g(3) = 9 - 10                     Simplify

g(3) = - 1

Then,

g(x) = x, x > 3          You would use this equation for finding g(6). Since 6 is greater than 3.

g(x) = x, x > 3     ←   You can ignore the x > 3 part.

g(6) = (6)                  Input the value 6 as x.

g(6) =                      Simplify

g(6) = 1

g(-3) = 2 results in the largest value/output.

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