Given are the graphs of the functions f(x)=√x and g(x)=2 sinx. 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.
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The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.
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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