Question

Use the graph that shows the solution to f(x)=g(x).f(x)=x^2g(x)=(1/2)^x−1 What is the solution to f(x)=g(x)?

Answer 1

Given:

The function is:

$\begin{gathered} f(x)=x^2 \\ \\ g(x)=(\frac{1}{2})^{x-1} \end{gathered}$

Find-:

The value of "x" is:

$f(x)=g(x)$

Explanation-:

The value of "x" is:

The graph of f(x) ,

$f(x)=x^2$

Graph is:

The graph of g(x) is:

$g(x)=(\frac{1}{2})^{x-1}$

Graph is:

The combined graph is:

The value of "x" is:

$x=1$

When x = 1 then f(x) = g(x)