(g o f)(-2) is a mathematical notation for composition of functions. It means that the output of the function f is used as the input for the function g, and the result is evaluated at the value -2.
To solve for (g o f)(-2), you need to first find the value of f(-2) by plugging in -2 into the function f. Then, take the result of f(-2) and plug it into the function g. Finally, evaluate the function g at the given value to find the value of (g o f)(-2).
In a real-world context, (g o f)(-2) can represent a sequence of two operations that are performed on a particular input, with the result being evaluated at the value -2. For example, if f represents the conversion of Celsius to Fahrenheit and g represents the addition of 10, then (g o f)(-2) would represent the temperature in Fahrenheit after 10 is added to the Celsius temperature of -2.
Yes, (g o f)(-2) and g(f(-2)) are equivalent notations for the composition of functions. Both notations mean that the output of the function f is used as the input for the function g, and the result is evaluated at the value -2.
It depends on the specific functions g and f. In some cases, (g o f)(-2) can be simplified further by using algebraic manipulation or by recognizing patterns in the functions. However, in other cases, (g o f)(-2) may not have a simpler form and can only be evaluated at the given value.