From the question;
we are given the functions
[tex]\begin{gathered} f(x)=x^4+9x^2\text{ - 3} \\ g(x)\text{ = (}\frac{1}{2})^{x-2} \end{gathered}[/tex]
we are to find the values of x for which
[tex]f(x)\text{ = g(x)}[/tex]
To do this we will be solving the two functions graphically
By plotting the function f(x) and g(x) we get
From the graph above,
we have the curve intersecting at
[tex]x\text{ = -1.058 and x =0.75}[/tex]
By approximating the values we have
[tex]x\approx\text{ -1 and x }\approx\text{ 0.75}[/tex]
Therefore the correct option is C
