Question

The functions f(x) = -2x + 2 and g(x) = (1/3)^x are shown in the graph.

Answer 1

Option a: -1

Option b: 0

Explanation:

The function $f(x)=-2 x+2$ and $g(x)=\left(\frac{1}{3}\right)^{x}+1$

To determine the solution of $-2 x+2=\left(\frac{1}{3}\right)^{x}+1$ and solving the expression using lambert's form, we get the solution $x=-1, x=0$

Hence, the solution to the functions $f(x)=-2 x+2$ and $g(x)=\left(\frac{1}{3}\right)^{x}+1$ are -1 and 0.

Also, by looking at the graph, we can see that, the graphs f(x) and g(x) intersect at the points $(-1,4)$ and $(0,2)$.

Hence, the solution to $-2 x+2=\left(\frac{1}{3}\right)^{x}+1$ is -1 and0.

Thus, Option a and Option b are the correct answers.