The range is how much it spans in f(x), f(x) is a line, it has no max/min, so it's enough to substitute the least and greatest values of your domain:
f(-2) = -5, f(4)=7,
Range = [-5,7]
Answer:
Step-by-step explanation:
(f + g)x translates into a more readable f(x) + g(x) so all you do is
f(x) + g(x) = 4x^2 + 1 + x^2 - 5
f(x) + g(x) = 5x^2 - 4
To factor this quadratic equation into double brackets, you need to find two numbers that add together to equal 10, but also multiply to give you 9. These two numbers can be identified as 1 and 9, which will be the numbers you place in your parentheses as follows:
(x+1)(x+9)
