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) ?



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Answer 1

The solution to the equation f(x)=g(x) is (1,3)

Explanation:

Given
`f(x)=2^x+1, g(x)=-x+4`. We have to find the solution to the equation f(x)=g(x).

The graph of
`f(x)=2^x+1` and
`g(x)=−x+4` can be drawn.

The graph of g(x)=−x+4 is a straight line, with the same gradient throughout.

The graph of
`f(x)=2^x+1` 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)