the graph shows the functions $f(x)=-(x - 3)^2+6$ and $g(x)=sqrt{3x}+2$. find the approximate solution of…

the graph shows the functions $f(x)=-(x - 3)^2+6$ and $g(x)=sqrt{3x}+2$. find the approximate solution of the equation $f(x)=g(x)$. use the keypad to enter your answer in the box. you can find additional symbols by using the drop - down arrow at the top of the keypad. the approximate solutions of $f(x)=g(x)$ are $xapproxsquare$ and $xapproxsquare$.

the graph shows the functions $f(x)=-(x - 3)^2+6$ and $g(x)=sqrt{3x}+2$. find the approximate solution of the equation $f(x)=g(x)$. use the keypad to enter your answer in the box. you can find additional symbols by using the drop - down arrow at the top of the keypad. the approximate solutions of $f(x)=g(x)$ are $xapproxsquare$ and $xapproxsquare$.

Answer

Answer:

$x\approx0.4$ and $x\approx5.6$

Explanation:

Step1: Observe the graph

The intersection points of $y = f(x)$ and $y = g(x)$ give the solutions of $f(x)=g(x)$.

Step2: Locate intersection points

By visually inspecting the graph, we can estimate the $x -$coordinates of the intersection points. The left - hand intersection point has an $x -$value around $0.4$ and the right - hand intersection point has an $x -$value around $5.6$.