How do you verify that #f(x)=-2x-3; g(x)=-1/2x-3/2# are inverses?
1 Answer
Jun 27, 2017
Explanation:
#f(x)" and " g(x)" are inverses if"#
# • f(g(x))=x" or " g(f(x))=x#
#f(g(x))=f(-1/2x-3/2)#
#color(white)(f(g(x)))=-2(-1/2x-3/2)-3#
#color(white)(f(g(x)))=x+3-3#
#color(white)(f(g(x)))=x#
#rArrf(x)" and " g(x)" are inverses"#
