Given f(x) = 5x - 6 and g(x) = x2 - 5x + 6, find the function (f - g)(x). Use the ^ key for the exponent. Will someone please help me with this and explain how to get the answer?!..

Question

Given f(x) = 5x - 6 and g(x) = x2 - 5x + 6, find the function (f - g)(x).  Use the ^ key for the exponent. Will someone please help me with this and explain how to get the answer?!..

jim_thompson5910 · Answer

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (5x-6) - (x^2-5x+6)

From here, distribute and combine like terms

anonymous · Answer

so it would be x^2+6?

jim_thompson5910 · Answer

(f - g)(x) = (5x-6) - (x^2-5x+6)

(f - g)(x) = 5x-6 - x^2-5x+6

(f - g)(x) = 5x-6 - x^2+5x-6

What's next?

anonymous · Answer

cyou would cancel out the 5x's right?

jim_thompson5910 · Answer

why would they cancel?

anonymous · Answer

cause 5x-5x? I'm not sure this is really confusing me..

jim_thompson5910 · Answer

no the negative distributes and changes it to +5x

anonymous · Answer

oh so then would it be 10x^2-12

jim_thompson5910 · Answer

not quite

jim_thompson5910 · Answer

(f - g)(x) = 5x-6 - x^2+5x-6

(f - g)(x) =-x^2 +  (5x+5x)+ (-6-6)

(f - g)(x) = -x^2 + 10x - 12

anonymous · Answer

oh.. I see how you broke it down, I kept canceling them out and i was left with just the x^2 thank you!

jim_thompson5910 · Answer

np