Question

Graph f(x)=2^x+1 and g(x)=-x+4 on the same coordinate plane what is the solution to the equation f(x)=g(x)

Answer 1

Answer:

  x = 1

Step-by-step explanation:

The graph shows the curves cross at x=1.

The solution is x = 1.

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Additional comment

I personally find it more convenient to look for the zeros (x-intercepts) of the difference f(x)-g(x). That way, I'm only graphing one function, and I don't have to look all over the graph to try to find the point of intersection. (The solution is always on the x-axis.) The attached graph shows f(x) - g(x) as a dashed green line.