Question

If f(x)=4^x find f(x+1)-f(x) in terms of f(x)

Answer 1

#hey there!!

given that:

=> f(x) = 4^x ---------------------(1)

now f(x+1) = 4^(x+1) ----------------(2)

◆ According to question :

=) f(x+1) - f(x) = 4^(x+1) - 4^x

= 4^x . 4 - 4^x

= 4^x( 4 -1)

= 3.4^x

● put f(x) in place of 4^x , we get

= 3f(x)

so the required function is :

=) f(x+1) - f(x) = 3f(x)

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⭐Hope it will help you