Question

Two functions are shown below.

f(x) = 1/3 (3)^x


g(x) - 2x + 4


What is the largest integer value of x such that f(x) < g(x)?

Answer 1

Answer: 3

Explanation:

Given

`f(x)=(1)/(3)3^x`

`g(x)=2x+4`

For
`f(x)<g(x)` to be true, the domain is given by observing the graph of two i.e.
`x\in (-1.981,3.117)`. In this range
`g(x)` is greater than
`f(x)`.

From the above domain largest integer that can satisfy the condition is 3.