Given are the graphs of the functions f(x)=√x and g(x)=2 sin⁡x. Use the graph or graph the functions on your own and determine all values of x that solve the equation f(x)=g(x). Explain how you identified the solutions.

Given are the graphs of the functions fxx and gx2 sinx Use the graph or graph the functions on your own and determine all values of x that solve the equation fx class=

Respuesta :

The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

How to solve graphically two equations by graphic approach

In this question we must look for all points where each curve intersects each other. By direct inspection on figure given, we conclude that [tex]f(x) = g(x)[/tex] happens in thrice: (i) [tex](x,y) = (0, 0)[/tex], (ii) [tex](x,y) = (0.256, 0.505)[/tex], (iii) [tex](x,y) = (2.285, 1.512)[/tex]

Hence, the values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

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