Question

he function g(x) is defined as shown.

g (x) = StartLayout Enlarged left-brace 1st Row 1st column x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than negative 1 2nd row 1st column 2 x + 3, 2nd column negative 1 less-than-or-equal-to x less-than 3 3rd row 1st column 6 minus x, 2nd column x greater-than-or-equal-to 3

What is the value of g(3)?

2
3
9
14

Answer 1

3

Since 3 falls in the region x ≥ 3, use g(x) = 6 − x, so g(3) = 6 − 3 = 3.