First I plot the graphs for: f(x)=x-4 and g(x)= -1/5(2x+6)
1) Find the point where the values of the functions are equal. I did, (2;-2), that was correct.
2) Find the argument values at which g(x) < f(x) <---- I don't know how to do this
3) Find the argument values at which (f(x) < 0) ^(upward triangle sign, without a bottom) (g(x) < 0)
No idea about this one either
4) Find the argument values at which (f(x) > 0) ^ (g(x) > 0)
How do I find these argument values? Much appreciated if someone could give me an example, cause I have really no idea.
Thanks!
1) Find the point where the values of the functions are equal. I did, (2;-2), that was correct.
2) Find the argument values at which g(x) < f(x) <---- I don't know how to do this
3) Find the argument values at which (f(x) < 0) ^(upward triangle sign, without a bottom) (g(x) < 0)
No idea about this one either
4) Find the argument values at which (f(x) > 0) ^ (g(x) > 0)
How do I find these argument values? Much appreciated if someone could give me an example, cause I have really no idea.
Thanks!
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2) x>2.
For g(x) < f(x), it is asked about the values of x for which g(x) is less than f(x).
If you have plotted the graphs of these together, you will see that g(x) < f(x) for x >2.
3) -3
Here, it is asked about those values of x where both f(x) and g(x) are less than 0.
From the graph, you will see that for -3
4) x<-3 and x>4
So, here it must be those values of x where both f(x) and g(x) are greater than 0.
From the graph, you will see that for x<-3 and x>4, both f(x) and g(x) are greater than 0
For g(x) < f(x), it is asked about the values of x for which g(x) is less than f(x).
If you have plotted the graphs of these together, you will see that g(x) < f(x) for x >2.
3) -3
From the graph, you will see that for -3
4) x<-3 and x>4
So, here it must be those values of x where both f(x) and g(x) are greater than 0.
From the graph, you will see that for x<-3 and x>4, both f(x) and g(x) are greater than 0