Homework Soursefg fg fg fgSolutionfx sqrt 4 x and gx sqrt x2 9 f gx fx g
f+g
f-g
f*g
f/g
Solution
f(x) = sqrt( 4 -x) and g(x) = sqrt( x^2 -9)
(f+ g)(x) = f(x) +g(x) = sqrt( 4-x)+ sqrt( x^2 -9)
( f-g)(x) = f(x) -g(x) = sqrt( 4-x) - sqrt( x^2 -9)
(f*g)(x) = f(x)*g(x) = sqrt( 4 -x) * sqrt( x^2 -9) = sqrt{ (4-x)(x^2 -9) }
(f/g)(x) = f(x)/ g(x) = sqrt( 4-x)/sqrt( x^2 -9)
