Question

Which value is in the domain of f(x)?

f(x) = StartLayout Enlarged left-brace 1st row 1st column 2 x + 5, 2nd column negative 6 less-than x less-than-or-equal-to 0 2nd row 1st column negative 2 x + 3, 2nd column 0 less-than x less-than-or-equal to 4

–7
–6
4
5

Answer 1

The function is defined for -6 < x ≤ 0 and 0 < x ≤ 4, so the domain is (-6,0] ∪ (0,4]. From the choices only 4 lies in that domain.