Question

.Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. x+4= -3^x+4

Answer 1

Remark
The very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1

So let's set up a table and see what we get. Start with y = x + 5

x             x + 5
-1           4
-1.25      3.75
-1.5        3.5
-1.75      3.25
-2           3

Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator

x            -(3)^x + 4
-1           3.66
-1.25      3.75
-1.5        3.8
-1.75      3.85
-2           3.89

Conclusion
When x = - 1.25 y = 3.75 for both graphs. <<<< Answer

Footnote
You may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4

Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/- 
=
X
1
+/-
=     At this point you should have -0.25
+
4
= 
That gives you 3.75