SOLUTION: Find the functions f + g, f − g, fg, and f/g f(x)=x^2+3;g(x)= √x+3 f+g= f-g= fg= f/g=

Algebra ->  Linear-equations -> SOLUTION: Find the functions f + g, f − g, fg, and f/g f(x)=x^2+3;g(x)= √x+3 f+g= f-g= fg= f/g=      Log On


   

Question 1066270: Find the functions f + g, f − g, fg, and f/g
f(x)=x^2+3;g(x)= √x+3
f+g=
f-g=
fg=
f/g=
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!

*Assuming that g is supposed to be sqrt%28x%29%2B3%29. MAKE SURE THAT MY ASSUMPTION IS CORRECT BEFORE CONTINUING. If it is supposed to be sqrt%28x%2B3%29, email me @ swincher4391@yahoo.com and I'll walk you through it, but it will be very similar.
Then f+g = x%5E2+%2B+3+%2B+sqrt%28x%29+%2B+3
So f+g = x%5E2+%2B+sqrt%28x%29+%2B+6
f-g = %28x%5E2+%2B+3%29+-+%28sqrt%28x%29+%2B+3%29
f-g = x%5E2+%2B+cross%283%29+-+sqrt%28x%29+-+cross%283%29
f-g = x%5E2+-+sqrt%28x%29
f*g = %28x%5E2+%2B3%29+%2A+%28sqrt%28x%29+%2B+3%29
FOIL
f*g = x%5E2%2Asqrt%28x%29+%2B+3x%5E2+%2B+3%2Asqrt%28x%29+%2B+9
f/g = %28x%5E2%2B3%29%2F%28sqrt%28x%29%2B3%29 for x%3E=0 due to domain restriction on sqrt%28x%29