Question

If f(x)=2⋅3^x, which of the following is equal to f(1+x)-f(x)?

2f(x) b. (1+x)f(x) c. -3f(x) d. f(1)

Answer 1

f(x)=2*3^x


f(1+x)=2*3^(1+x)


f(1+x)=2*3^1*3^x


f(1+x)=2*3*3^x


f(1+x)=6*3^x


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f(1+x)-f(x)


6*3^x - 2*3^x


(6-2)*3^x


4*3^x


2*2*3^x


2*(2*3^x)


2*f(x)


So f(1+x)-f(x) = 2*f(x) where f(x) = 2*3^x

Answer 2

THANK YOU SO MUCH @jim_thompson5910 . got it!

Answer 3

yw