The function $f$ is defined by $f(x) = k(1.84)^x$, where $k$ is a con…

Question

Prompt

The function

f

is defined by

f (x) = k (1.84)^{x}

, where

k

is a constant. The value of

f (x)

increases by

p %

for every increase of

x

by 1. For which of the following functions, where

k

is a constant, does the value of

g (x)

increase by

p %

for every increase of

x

by 4?

g (x) = k (1.8 4^{x})^{\frac{1}{4}}

g (x) = k (1.8 4^{x})^{4}

g (x) = k (1.84)^{x - 4}

g (x) = k (1.84)^{x + 4}