Question

GIVING MEDAL AND BE A FAN!

For f(x)=3x+1 g(x)=x^2-6, find (f-g)(x).

Answer 1

(f-g)(x) is the same as f(x) - g(x)

Answer 2

are you able to find f(x) - g(x) ?

Answer 3

no

Answer 4

f(x) - g(x) = (3x + 1) - (x^2 - 6)

f(x) - g(x) = 3x + 1 - x^2 + 6 ... distribute

f(x) - g(x) = ???

Answer 5

I honestly don't understand how to work it out at all

Answer 6

uhhhhh...

Answer 7

Simplify 3x + 1 - x^2 + 6 to get your answer

Answer 8

2x^2 +7??????????

Answer 9

you have 1+6 = 7 correct, but the other terms do not combine (since they aren't like terms)

Answer 10

so the answer is just \(\Large f(x) - g(x) = -x^2 + 3x + 7\)

Answer 11

ohhh so you just leave those terms alone?

Answer 12

yep, if you had -x + 3x then you could combine them to get 2x (since they both are like terms)

but in this case, they aren't like terms, so you just leave them as they are

Answer 13

Are you sure its not -x^2+3x-5?

Answer 14

yes, that is if f(x)=3x+1 and g(x)=x^2-6

Answer 15

it would be -x^2+3x-5 if you wanted to find f(x) + g(x)