Hello everyone. This is my first post so if something about what i said is wrong or doesnt follow the rules just tell me.
Im having difficulties with (g o f)(x) of the functions below:
. . . . .[math]f(x)\, =\, \begin{cases}3x^2\, +\, 1&\, x\, \leq\, 0\\x\, -\, 8&\,0\, <\, x\, <\, 2\\5&\, x\, \geq\, 2\end{cases}[/math]
. . . . .[math]g(x)\, =\, \begin{cases}x\, -\, 1&\, x\, \leq\, 0\\ -1&\,0\, <\, x\, <\, 2\\\frac{1}{x}&\, x\, \geq\, 2\end{cases}[/math]
Im confused about 3x^2 + 1 when x<=0 because it doesnt have a real root so i dont know what to do with that part of the function. I appreciate if someone helps me to find the solution.
Thanks in advance.
Im having difficulties with (g o f)(x) of the functions below:
. . . . .[math]f(x)\, =\, \begin{cases}3x^2\, +\, 1&\, x\, \leq\, 0\\x\, -\, 8&\,0\, <\, x\, <\, 2\\5&\, x\, \geq\, 2\end{cases}[/math]
. . . . .[math]g(x)\, =\, \begin{cases}x\, -\, 1&\, x\, \leq\, 0\\ -1&\,0\, <\, x\, <\, 2\\\frac{1}{x}&\, x\, \geq\, 2\end{cases}[/math]
Im confused about 3x^2 + 1 when x<=0 because it doesnt have a real root so i dont know what to do with that part of the function. I appreciate if someone helps me to find the solution.
Thanks in advance.
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