The function f(x)=2^x and g(x)= f(x+k). if k =-5, what can be concluded about the graph of g(x)?

How many solutions does the nonlinear system of equations graphed bellow have?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?