Question

Find the domain for f(x) = 3x - 2 if -1 < x < 5.

a) (0,5]
b) [0,5)
c) (-1,5]
d) [-1,5]

Answer 1

Finall Answer:

The correct domain for
`\( f(x) = 3x - 2 \) given \( -1 < x < 5 \)` is option d) [-1,5].

Step-by-step explanation:

The domain of a function refers to the set of all possible valid input values (x-values) that the function can accept. In this case, the function
`\( f(x) = 3x - 2 \)` is defined for all x-values within the interval
`\( -1 < x < 5 \).`The inequality
`\( -1 < x < 5 \)` includes all real numbers greater than -1 and less than 5, including these boundary values.

Therefore, the correct representation of this interval in interval notation is [-1, 5]. The square brackets denote that -1 and 5 are included in the domain, as they are part of the inequality. Hence, option d) [-1,5] accurately represents the domain of the function
`\( f(x) = 3x - 2 \)`for the given interval.

Therefore, the correct answer is d. probability