SOLUTION: this is very difficult for me, can you help? Let f(x)=5x-6 and g(x)=x^2-8x+16. find the following: 1) (f+g)(x) 2) (g-f)(2) 3) (fg)(5) 4) f/g(x) thanks so much!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: this is very difficult for me, can you help? Let f(x)=5x-6 and g(x)=x^2-8x+16. find the following: 1) (f+g)(x) 2) (g-f)(2) 3) (fg)(5) 4) f/g(x) thanks so much!      Log On


   

Question 62772: this is very difficult for me, can you help?
Let f(x)=5x-6 and g(x)=x^2-8x+16. find the following:
1) (f+g)(x)
2) (g-f)(2)
3) (fg)(5)
4) f/g(x)
thanks so much!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=5x-6 and g(x)=x^2-8x+16. find the following:
1) (f+g)(x)
=(5x-6)+(x^2-8x+16)
=x^2-3x+10
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2) (g-f)(2)
=[(x^2-8x+16)-(5x-6)](2)
=[x^2-13x+22](2)
=2^2-13(2)+22
=4-26+22
=0
--------------
3) (fg)(5)
=(5x-6)(x^2-8x+16)
=5x^3-40x^2-6x^2+80x+48x-96
=5x^3-46x^2+128x-96
Evaluate at x=5 to get:
=5(5^3)-46(25)+128(5)-96
=19
-------------
4) f/g(x)
=(5x-6)/(x^2-8x+16)
---------
Cheers,
Stan H.