Answer:
[tex]g(x)=f(2)[/tex] for x = 4
Step-by-step explanation:
If [tex]f(x)=3x-1[/tex]
and [tex]g(x)= 2x-3[/tex]
Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?
So start by evaluating what [tex]f(2)[/tex] is:
[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]
Then,we have to find for which value of x [tex]g(x)=5[/tex]
so we write g(x) explicitly:
[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]