write two linear functions, f (x) and g (x). For example, f (x) = 3x-7 and g (x) = - 2x+5. Then see whether f (x) - (-g (x)) is equivalent to f (x) + g (x).

the two expressions are equivalent.

Step-by-step explanation:

We know that f (x) = 3x-7 and g (x) = - 2x+5, therefore:

f (x) - (-g (x)) = 3x-7 - (+2x-5) = 3x - 7 - 2x + 5 = x - 2

f (x) + g (x) = 3x-7 - 2x + 5 = x - 2

Therefore, f (x) - (-g (x)) is equivalent to f (x) + g (x).

Another way to check that the two expressions are equivalent is by solving the parenthesis:

f (x) - (-g (x)) → f (x) + g (x)

Therefore, the two expressions are equivalent.