Answer:
Option 1 - Year 0
Step-by-step explanation:
Given : Two different plants grow each year at different rates, which are represented by the functions [tex]f(x) = 4x[/tex] and [tex]g(x) = 5x + 2[/tex].
To find : What is the first year the f(x) height is greater than the g(x) height?
Solution :
We have given two functions [tex]f(x) = 4x[/tex] and [tex]g(x) = 5x + 2[/tex].
According to question,
The f(x) height is greater than the g(x) height,
i.e. [tex]f(x)>g(x)[/tex]
[tex]4x>5x+2[/tex]
Subtract -5x both side,
[tex]4x-5x<5x+2-5x[/tex]
[tex]-x<2[/tex]
Multiply both side by -1,
[tex]x<-2[/tex]
As number of years cannot be negative.
So, The first year the f(x) height is greater than the g(x) height is year 0.
Therefore, Option 1 is correct.
Answer:
its actually year 2
Step-by-step explanation:
i put the first answer and got it wrong
