The answer is x = 2.4.
By looking at the table we see that the values for 3 are farther apart than values for 2.5. Therefore it must be smaller than 2.5, but greater than 2 since 2 doesn't work either.
So let's try 2.25, which is right in the middle.
f(2.25) = 2 * 2.25 - 5 = -0.5, g(2.25) = 2.25^2 - 6 = -0.9375. This is better than 2 was, so let's try in between 2.25 and 2.5, which would be 2.375.
f(2.375) = 2 * 2.375 - 5 = -0.25, g(2.375) = 2.375^2 - 6 = -0.359375. This is actually very close so let's just round 2.375 to the nearest tenth to get 2.4, and check that.
f(2.4) = 2 * 2.4 - 5 = -0.2, g(2.4) = 2.4^2 - 6 = -0.24. Even better, and this is to the nearest tenth so this answer is sufficient.
