Use the table to evaluate each expression, if possible. (ƒ+g)(1)

Key Concepts

Function Notation

Function notation is a way to represent functions in mathematics, typically denoted as f(x) or g(x). It allows us to express the output of a function for a given input. Understanding how to read and interpret function notation is essential for evaluating expressions involving functions, such as (f + g)(1), where we need to find the sum of two functions at a specific input.

Function Addition

Function addition involves combining two functions by adding their outputs for the same input. If f(x) and g(x) are two functions, then (f + g)(x) = f(x) + g(x). This concept is crucial for evaluating expressions like (f + g)(1), as it requires calculating the values of f(1) and g(1) first, and then summing those results.

Evaluating Functions

Evaluating functions means substituting a specific value into the function's expression to find the output. For example, to evaluate f(1), you replace x in the function f(x) with 1. This process is necessary for solving expressions like (f + g)(1), as it requires determining the individual function values at the input before performing any operations on them.