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) ?



Enter your answer in the box.

x =

Answer 1

Answer: x = 1. Graph attached

Explanation.

You can see the graph in the image attached.

To make the graph I recommend that you make a table with integer values of x from - 2 to + 4

x f(x) = 2^x + 1 g(x) = - x + 4

-2 2^(-2) + 1 = 1/4 + 1 = 3/4 - (-2) + 4 = 2 + 4 = 6

-1 2^(-1) + 1 = 1/2 + 1 = 3/2 - (-1) + 4 = -1 + 4 = 3

0 2^0 + 1 = 1 + 1 = 2 0 + 4 = 4

1 2^1 + 1 = 2 + 1 = 3 -1 + 4 = 3

2 2^2 + 1 = 4 + 1 = 5 -2 + 4 = 2

So, the intersection point on the graph is (1, 3). Which means tha the solution is x = 1.

Answer 2

The solution is x=1.