Are #f(x) = 3/4x-2# and #g(x) = 4/3x+8/3# inverse functions?
1 Answer
May 10, 2017
Explanation:
#"if " f(g(x)=x" then inverse functions"#
#rArrf(g(x))=f(4/3x+8/3)#
#color(white)(rArrf(g(x)))=3/4(4/3x+8/3)-2#
#color(white)(rArrf(g(x)))=x+2-2=x#
#"this may be checked the other way"#
#"if " g(f(x))=x" then inverse functions"#
#rArrg(f(x))=g(3/4x-2)#
#color(white)(rArrg(f(x)))=4/3(3/4x-2)+8/3#
#color(white)(rArrg(f(x)))=x-8/3+8/3=x#
#rArrf(x)" and " g(x)" are inverse functions"#
