SOLUTION: For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each function at 2. 1.) f(x)= 5x-10, g(x)= 3x+7 3.) f(x)= -4x+1, g(x)= 6x+2

Algebra.Com
Question 63953: For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each function at 2.
1.) f(x)= 5x-10, g(x)= 3x+7
3.) f(x)= -4x+1, g(x)= 6x+2

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
The set-up is:
For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each function at 2.
1.) f(x)= 5x-10, g(x)= 3x+7
(f+g)(x)
(5x-10)+(3x+7)= [combine line-terms and subtitute x=2]
.
(f-g)(x)
(5x-10)-(3x+7)= [combine line-terms and subtitute x=2]
.
(fg)(x)
(5x-10)*(3x+7)= [multiply and subtitute x=2]]
3.) f(x)= -4x+1, g(x)= 6x+2
(-4x+1) + (6x+2)[combine line-terms and subtitute x=2]
.
(-4x+1) 1 (6x+2)[combine line-terms and subtitute x=2]
.
(-4x+1) * (6x+2)[multiply and subtitute x=2]



RELATED QUESTIONS

For each pair of functions, find f(g(x)) and g(f(x)).... (answered by Gogonati)
PLEASE HELP SOLVE FOR EACH PAIR OF FUNCTIONS, FIND (A)(F+G)(X) AND (B) (F-G)(X)... (answered by jai_kos,praseena)
I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)
f g, f-g, fg and f/g. determine the domain for each function f(x) f(x)=3x+4, g(x)=x+3... (answered by stanbon)
For each pair of functions, find f(g(x)) and g(f(x)). f(x)= 3x+5, g(x)=... (answered by jim_thompson5910)
3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)
3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)
for the pair of functions defined, find f+g, f-g, fg, and f/g. give the domain of each.... (answered by longjonsilver,Prithwis)
find (f . g)(x) and (g . f)(x) for each function f(x)=-6x+9, g(x)=5x+7... (answered by lyra)