If f(x)=a^x , show that f(A+B) = f(A)*f(B) If f(x)=a^x , show thatf(cx)=[f(x)]^c

Ishaan Booker

Ishaan Booker

Answered question

2022-07-28

If f ( x ) = a x , show that f(A+B) = f(A)*f(B)
If f ( x ) = a x , show that f ( c x ) = [ f ( x ) ] c

Answer & Explanation

emerhelienapj

emerhelienapj

Beginner2022-07-29Added 14 answers

We have that:
f ( x ) = a x , then this means that:
f ( A + B ) = a A + B = a A a B = f ( A ) f ( B )
and that:
f ( c x ) = a c x = ( a x ) c = ( f ( x ) ) c

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