Answer:
\(x=-1\)
\(x=1\)
Step-by-step explanation:
we have
\(f(x)=-\frac{3}{4}x+2\frac{1}{4}\) -----> equation A
\(g(x)=\frac{1}{2}^{x} +1\) ----> equation B
To find the solutions for x of the system of equations
equate equation A and equation B
\(-\frac{3}{4}x+2\frac{1}{4}=\frac{1}{2}^{x} +1\)
The values of x of the intersection points are the solutions of the system
Using a graphing tool
see the attached figure
There are two intersection points
therefore
The solutions are
\(x=-1\)
\(x=1\)
