Given these functions, find f(x)-g(x) : f(x)=2x+5 g(x)=x^2-3+1

Answer 1

Hello River! I can help you out!

When finding f(x) - g(x), simply just substitute the formulas of each. We know that f(x) = 2x + 5, and g(x) = x^2 - 2 (by -3 + 1 = -2), so f(x) - g(x) = [2x + 5] - [x^2 - 2] = 2x + 5 - x^2 + 2 (use the Distributive Property to mutliply -1 to each term of x^2 and -2)!

2x + 5 - x^2 + 2 = 2x - x^2 + 7 <<<< (ANSWER)! Hope that helped!

Answer 2

The answer to this question is : -x² + 2x +7

Steps in Solving:

You have been given two functions f(x) = 2x + 5 and g(x) = x² - 3 + 1

To solve f(x) - g(x)

1. Replace substitute in the functions: f(x) - g(x) = 2x + 5 - ( x² - 3 + 1).

Note that is always advisable to put the functions in parenthesis so you don't forget to distribute

1. Distribute the negative over the second function

f(x) - g(x) = 2x + 5 - x² - (-3 ) + (- 1) = f(x) - g(x) = 2x + 5 - x² + 3 - 1

1. Group like terms:

f(x) - g(x) = 2x + 5 - x² + 3 - 1 = -x² + 2x +( 5 + 3 - 1) = -x² + 2x +7