SOLUTION: find the domain of the composite function f*g f(x)=2/x+10,g(x)=60/x

SOLUTION: find the domain of the composite function f*g f(x)=2/x+10,g(x)=60/x

Algebra.Com

Question 147736: find the domain of the composite function f*g
f(x)=2/x+10,g(x)=60/x
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
f(x)=2/x+10,g(x)=60/x
f(g(x))=f(60/x)=2/((60/x)+10)
=2/((10x+60)/x)
=2x/10x+60
=x/5x+30
=x/5(x+6)
The domain of f*g is all real numbers except x=-6
.
Ed
RELATED QUESTIONS
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find the domain of the composite... (answered by gonzo)

Find the domain of the composite function f*g f(x)=4/x-2;g(x)=9/x The domain ____ (answered by josgarithmetic)

Find the domain of the composite function f � g. f(x)=1/(x+10); g(x)=... (answered by uma)

Find the domain of the composite function f*g. f(x)=x^2+9; g(x)=sqrt... (answered by ReadingBoosters)

Find the domain of the composite function f∘g. f(x) = x + 6, g(x) = 2/x+7 (answered by MathLover1)

Find the domain of the composite function f o g. f(x)= x/x+3 ; g(x)=9/x+1 (answered by josgarithmetic)

Find the domain of the composite function f & g f(x)=1/x-5... (answered by solver91311)

Find the domain of the composite function f∘g f(x)=1/x-9;g(x)=1/x (answered by stanbon)

Find the domain of the composite function f�g. Show work. f(x)=x+5,... (answered by greenestamps)