Question

12(6). Graph $f(x)$ where $\begin{cases} 1/x & \text{if } x < -1\\ x & \text{if } -1 \le x \le 1\\ 1/x & \text{if } x > 1 \end{cases}$ 13(4). Graph $1 - \sqrt{x + 1}$. 14(6). The graph of $f(x)$ is a line segment from $(0,2)$ to $(2,0)$. (a) Graph $y = -f(x+1)+1$. (b) Graph $y = f(1-x)-1$. 15(4). $f(x) = (1/x)+1$, $g(x)=(1/x)-1$, find and simplify $(f\circ g)(x)$. 16(2). $G(-4)=-3$, $G(-3)=1$, $G(-1)=2$, $G(1)=5$. $F(-3)=-4$, $F(1)=-3$, $F(2)=-1$, $F(5)=1$. Find $(G\circ G\circ F)(1)$. 17(6). Write each function as a composition $f(g(x))$ of two simpler functions $f(x)$ and $g(x)$. (a) $G(x) = x^4 + x^2 - 1$. (b) $F(x) = \frac{1}{\sqrt{x}} + \sqrt{x}$. original equation.) U (0,2] t: $\pm\sqrt{7}$

          12(6). Graph $f(x)$ where
$\begin{cases} 1/x & \text{if } x < -1\\ x & \text{if } -1 \le x \le 1\\ 1/x & \text{if } x > 1 \end{cases}$
13(4). Graph $1 - \sqrt{x + 1}$.
14(6). The graph of $f(x)$ is a line segment from $(0,2)$ to
$(2,0)$. (a) Graph $y = -f(x+1)+1$. (b) Graph $y = f(1-x)-1$.
15(4). $f(x) = (1/x)+1$, $g(x)=(1/x)-1$, find and simplify
$(f\circ g)(x)$.
16(2). $G(-4)=-3$, $G(-3)=1$, $G(-1)=2$, $G(1)=5$.
$F(-3)=-4$, $F(1)=-3$, $F(2)=-1$, $F(5)=1$. Find $(G\circ G\circ F)(1)$.
17(6). Write each function as a composition $f(g(x))$ of two
simpler functions $f(x)$ and $g(x)$.
(a) $G(x) = x^4 + x^2 - 1$. (b) $F(x) = \frac{1}{\sqrt{x}} + \sqrt{x}$.
original equation.)
U (0,2]
t: $\pm\sqrt{7}$

12(6). Graph f(x) where
1/x if x < -1
x if -1 ≤ x ≤ 1
1/x if x > 1
13(4). Graph 1 - √(x + 1).
14(6). The graph of f(x) is a line segment from (0,2) to
(2,0). (a) Graph y = -f(x+1)+1. (b) Graph y = f(1-x)-1.
15(4). f(x) = (1/x)+1, g(x)=(1/x)-1, find and simplify
(f∘ g)(x).
16(2). G(-4)=-3, G(-3)=1, G(-1)=2, G(1)=5.
F(-3)=-4, F(1)=-3, F(2)=-1, F(5)=1. Find (G∘ G∘ F)(1).
17(6). Write each function as a composition f(g(x)) of two
simpler functions f(x) and g(x).
(a) G(x) = x^4 + x^2 - 1. (b) F(x) = (1)/(√(x)) + √(x).
original equation.)
U (0,2]
t: ±√(7)

Added by Francisco E.

Question

Please give Ace some feedback