1. Given that \( f(x)=x^{2}, g(x)=\frac{2}{x} \) and \( h(x)=2 x \), Find the following: \( \begin{array}{ll}\text { (a) } g(h(x)) & \text { (b) } f^{-1}(h(x)) \\ \text { (c) } h(f(-1)) & \text { (d) } g^{-1}(f(-1)) \\ \text { (e) } g(h(f(x))) & \text { (f) } h^{-1}(f(g(x)))\end{array} \)

\( f(x)=5 x+6 ; g(x)=3 x-2 \) (h) Find \( \left(\left.\bar{g}\right|^{(1)}\right. \) \( \left(\frac{f}{g}\right)(1)=\square \) (Type an integer or a simplified fraction.)

QUESTION 12 If \( 2^{x} 5^{y}=16 \times 125 \), where \( x \) and \( y \) are positive integers, determine \( x-y \) :

How much pure acid should be mixed with 2 gallons of a \( 50 \% \) acid solution to get an \( 80 \% \) acid solution?

\( x^{2}-(k+3) x-7=0 \) seja igual a 8

Complete the square to write \( y=2 x^{2}+12 x-7 \) in graphing form. Then determine the vertex and the intercepts of the parabola. 1