Two lines f(x) and g(x) intersect on the x-axis in x=4.
Determine possible function terms.
For this task you need the following basic knowledge: Linear function
There are several solutions to this problem. We are looking for two different linear functions that both pass through the point (4|0).
A very simple example would be f(x)=0, i.e. the x-axis and g(x)=x−4.
f(x) obviously runs through (4|0). For g(x) this can also be checked very easily: g(4)=4−4=0.
Other possible functions are:
y=−x+4 , y=2x−8 (generally y=ax−4a for any a).
Consider the point through which both lines must pass.
Determine two different functions that go through this point.