Answer:
The solution to the equation f(x)=g(x) is (1,3)
Step-by-step explanation:
Given [tex]f(x)=2^x+1, g(x)=-x+4[/tex]. We have to find the solution to the equation f(x)=g(x).
The graph of [tex]f(x)=2^x+1[/tex] and [tex]g(x)=−x+4[/tex] can be drawn.
The graph of g(x)=−x+4 is a straight line, with the same gradient throughout.
The graph of [tex]f(x)=2^x+1[/tex] can also be drawn using two reference points, e.g. (0,2) and (1,3) .
The coordinates at which these graphs meet are (1,3) .
Hence, the solution to the equation f(x)=g(x) is (1,3)
