Mathematics, 25.09.2019 12:30 brianaduenas619
If f(x)=2x, g(x)= 2x-1, and h(x)= square root of x, find (fogoh)(9)
Answers: 2
![\bf \begin{cases} f(x)=2x\\ g(x)=2x-1\\ h(x)=\sqrt{x} \end{cases}\qquad \begin{array}{llll} (f\circ g\circ h)(x)\\ (f[g\circ h])(x)\\ (\ f[\ g(\ h(x)\ )\ ]\ ) \end{array}\\\\ -----------------------------\\\\ g(\ h(x)\ )=2[h(x)]-1\implies 2\sqrt{x}-1 \\\\\\ f[\ g(\ h(x)\ )\ ]=2[\ g(\ h(x)\ )\ ]\implies 2(2\sqrt{x}-1) \\\\\\ f[\ g(\ h(\quad 9\quad )\ )\ ]=2(2\sqrt{9}-1)\implies 4\sqrt{9}-1\implies 4\cdot 3-1\implies 11](/tpl/images/0261/3904/76e11.png)
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If f(x)=2x, g(x)= 2x-1, and h(x)= square root of x, find (fogoh)(9)...
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