Final answer:
To find g(-b), substitute -b into the function g(x) = x. The value of g(-b) is 45.
Step-by-step explanation:
In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain). Each input is related to exactly one output. The concept of a function is fundamental in various branches of mathematics and has broad applications in science, engineering, and other fields.
To find g(-b), we need to substitute -b into the function g(x) = x. So, g(-b) = -b. Since it is given that g(x) = 45 for some value b, we can conclude that -b = 45.
To solve for b, we can multiply both sides of the equation by -1 to get b = -45.
Therefore, g(-b) = g(-(-45)) = g(45) = 45.