We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:
[tex]f(x)=2x-5[/tex]
[tex]f(2.4)=2(2.4)-5[/tex]
[tex]f(2.4)=4.8-5[/tex]
[tex]f(2.4)=-0.2[/tex]
For our second function:
[tex]g(x)= x^{2} -6[/tex]
[tex]g(2.4)=(2.4)^2-6[/tex]
[tex]g(2.4)=5.76-6[/tex]
[tex]g(2.4)=-0.24[/tex]
To the nearest tenth:
[tex]g(2-4)=-0.2[/tex]
We can conclude that the positive solution of our functions to the nearest tenth is [tex]x=2.4[/tex].
