Answer:
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) = [tex]\frac{1}{6}[/tex]x, x > 3 You would use this equation for finding g(6). Since 6 is greater than 3.
g(x) = [tex]\frac{1}{6}[/tex]x, x > 3 ← You can ignore the x > 3 part.
g(6) = [tex]\frac{1}{6}[/tex](6) Input the value 6 as x.
g(6) = [tex]\frac{6}{6}[/tex] Simplify
g(6) = 1
Answer: g(-3) = 2 results in the largest value/output.
