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)=((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)=((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)