How to Compute the Sum of Two Functions | A Step-by-Step Guide

f(x) + g(x)

The expression “f(x) + g(x)” represents the sum of two functions, f(x) and g(x)

The expression “f(x) + g(x)” represents the sum of two functions, f(x) and g(x). Mathematically, it means that for any given value of x, we evaluate both f(x) and g(x) separately, and then add the results together.

To compute the sum of two functions, we will perform the following steps:
1. Substitute the given value of x into the function f(x) to find the value of f(x) at that point.
2. Substitute the same value of x into the function g(x) to find the value of g(x) at that point.
3. Add the two values obtained in steps 1 and 2 to obtain the sum of the two functions.

For example, let’s consider the functions f(x) = 2x^2 + 3x and g(x) = -x + 5. To find the sum of these functions at a specific value of x, let’s say x = 2, we would perform the following calculations:

1. Evaluate f(x) at x = 2:
f(2) = 2(2)^2 + 3(2) = 2(4) + 6 = 8 + 6 = 14

2. Evaluate g(x) at x = 2:
g(2) = -(2) + 5 = -2 + 5 = 3

3. Add the results from steps 1 and 2:
f(2) + g(2) = 14 + 3 = 17

Therefore, the sum of f(x) and g(x) at x = 2 is equal to 17.

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