Answer to Question #33988 in Statistics and Probability for rohini chandrakant chuadhari

Statistics and Probability

Question #33988

if f(x)=a raise to x,a>0,show that
f(x+1)=a*f(x)=f(2)*f(x-1)

Expert's answer

We have
f(x+1)=a^x+1=a*a^x=a*f(x) - this is the fist equality
For the second equality we have
f(2)*f(x-1)=a²a^x-1=a*(a*a^x-1)=a*a^x=a*f(x).
QED.

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