10 The point of symmetry of the curve of the function \( f: f(x)=\frac{2 x+1}{x-1} \) is \( \begin{array}{llll}\text { (a) }(2,0) & \text { (b) }(2,1) & \text { (c) }(0,1) & \text { (d) }(1,2)\end{array} \)

j) \( \sin ^{-1}(y)+x^{3}=\sqrt{y} \)

QUESTION 4 It is given that the asymptotes of \( f(x)=\frac{6}{x+p}+q \) intersect at \( (4 ; 3) \). \( 4.1 \quad \) Write down the equation of \( f \). \( 4.2 \quad \begin{array}{l}\text { Sketch the graph of } f \text {, clearly showing all the intercepts with the axes and any } \\ \text { asymptotes. }\end{array} \) \( 4.4 \quad \begin{array}{l}g \text { is one of the axes of symmetry of } f \text { and it is a decreasing function. Determine the } \\ \text { equation of } g \text {. } \\ 4.5 \\ (-3 ; 2) \text { is a point on } f \text {. Determine the coordinates of the image of this point after } \\ \text { reflection in } g \text {. }\end{array} \)

(b) Find the angle between \( \overline{\mathbf{a}} \) and \( \overline{\mathbf{b}} \) where \( -6 \bar{a}+2 \bar{b}=2 i+j-8 k \) and \( 2 \bar{a}-\bar{b}=3 i-4 j+k \) (c) show that the line \( \frac{x-1}{2}=\frac{y-2}{-6}=\frac{z-1}{7} \quad \) is parallel to the tangent vector of the

Una sucesión infinita tiene la caracteristica de que: a. El término \( a_{n} \) siempre es el último de la sucesión. b. Cada término \( a_{n} \) tiene un antecesor igual a \( a_{n+1} \) c. Cada término \( a_{n} \) es el último en sucesiones pares. d. Cada término \( a_{n} \) tiene un sucesor igual a \( a_{n+1} \)

Graph, state domain and range: \[ y=-3 \sqrt{x+3}+5 \]