How do you verify if #f(x)=2x-4; g(x)=1/2x+2# are inverse functions?
1 Answer
Apr 30, 2018
Explanation:
#"if "f(g(x))=x" and "g(f(x))=x#
#"then they are inverse functions"#
#f(g(x))=f(1/2x+2)#
#color(white)(f(g(x)))=2(1/2x+2)-4#
#color(white)(f(g(x)))=x+4-4=x#
#g(f(x))=g(2x-4)#
#color(white)(g(f(x)))=1/2(2x-4)+2#
#color(white)(g(f(x)))=x-2+2=x#
#rArrf(x)" and "g(x)" are inverse functions"#
