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"
