What is (f–g)(x)?f(x)=2x2–7xg(x)=x2–xWrite your answer as a polynomial or a rational function in simplest form.
Question
What is (f–g)(x)?f(x)=2x2–7xg(x)=x2–xWrite your answer as a polynomial or a rational function in simplest form.
Solution
To find (f-g)(x), we subtract the function g(x) from f(x).
f(x) = 2x^2 - 7x g(x) = x^2 - x
So, (f-g)(x) = f(x) - g(x) = (2x^2 - 7x) - (x^2 - x)
Now, subtract like terms:
= 2x^2 - x^2 - 7x + x = x^2 - 6x
So, (f-g)(x) = x^2 - 6x.
Similar Questions
orWatch a videoWhat is (f–g)(x)?f(x)=2x2–2xg(x)=2xWrite your answer as a polynomial or a rational function in simplest form.Submit
What is (f–g)(x)?f(x)=–2x2g(x)=–3x+4Write your answer as a polynomial or a rational function in simplest form.
What is (f–g)(x)?f(x)=–5xg(x)=2x+2Write your answer as a polynomial or a rational function in simplest form.
What is (f–g)(x)?f(x)=3x2+10xg(x)=x2–3xWrite your answer as a polynomial or a rational function in simplest form.
If g(x) = 3x2 - 3 and g[f(x)] = 7x, then find f(x).
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.