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 2022-07-28 Answered
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
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Answers (1)

emerhelienapj
Answered 2022-07-29 Author has 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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