To answer this question we will graph the function:
[tex]f(x)=3x^2-4-2^x.[/tex]
Notice that:
[tex]f(x)=0\text{ if and only if }3x^2-4=2^x.[/tex]
Therefore the x-coordinates of the x-intercepts will be solutions to the given equation.
The graph of f(x) is:
From the graph we get that the approximate solutions to the given equation are:
[tex]x\approx-1.22,x\approx1.51,\text{ and }x\approx7.27.[/tex]
Answer: Second option.
