Question

Two functions g and f are defined in the figure below. & 3 5 Domain of g Range of g Domain of s Range of Find the domain and range of the composition fºg. Write your answers in set notation. Domain of fog : Range of fog : DO... X $ ? Continue here to search o te a

Answer 1

f 25 3 5. Domain Domain Range Range off of g 41 f The domain of the fundion fog is the set of all in the domain of g fog (2) f (9 (2)) = f(3) = 7 fog (3) 4 (93)) = f(2)= 7 fog(+) = f(g(7)) = f(3) = 7 But for the point 8 the function has no image for 8 in domain of in domain of g tog does not satisfy the condition of function { 2, 3,7 range of fog domain of fog {7}