let f(x)=4-x^2 and g(x)=2-x . find f(x) -g(x)

Question

It would be easier to attach a picture but it doesn't give me that option. I really just don't get this question.. If you could list the steps?

Answer 1

Just take f(x) and subtract g(x) expression

So that equals....  4-x^2 -(2-x)

Always write exponents in descending order -x^2-(-x)+4-2

answer = -x^2+x+2

Answer 2

f(x)-g(x) = 4-x² - (2-x) = 4-x²-2+x = -x²+x+2

 

Step 1: Replace f(x) with 4-x² and g(x) with 2-x

Step 2: Use the distributive property to get rid of the parentheses around 2-x

Step 3: Collect like terms

Step 4: Write you answer with the exponents in descending order