Answer:
Option A) is correct, x= -1.25
Step-by-step explanation:
First of all the equation is,[tex]x+1=-3^{x}[/tex]
Plot both the graphs on one graph sheet.
[tex]-3^{x}[/tex] graph always lies below x axis, has value less than one in third quadrant.
Also, the graph [tex]x+1[/tex] has positive slope , intersecting above graph in third quadrant.
The, graph intersects at value whose x coordinate is negative, thus options B and D are eliminated.
Now, rest we can do by inserting either option A or option D.
By, graph also it is evident that, x is near to value -1.
