91Ó°ÊÓ

Use the given function \(f\) to find and simplify the following: \- \(f(3)\) \- \(f(4 x)\) \- \(f(x-4)\) \- \(f(-1)\) \- \(4 f(x)\) -\(f(x)-4\) \- \(f\left(\frac{3}{2}\right)\) \- \(f(-x)\) \- \(f\left(x^{2}\right)\) $$f(x)=x^{2}-3 x+2$$

Use the given function \(f\) to find and simplify the following: \- \(f(3)\) \- \(f(4 x)\) \- \(f(x-4)\) \- \(f(-1)\) \- \(4 f(x)\) -\(f(x)-4\) \- \(f\left(\frac{3}{2}\right)\) \- \(f(-x)\) \- \(f\left(x^{2}\right)\) $$f(x)=\frac{x}{x-1}$$

Write the set using interval notation. $$ \\{x \mid x \leq 5 \text { or } x=6\\} $$

Use the given function \(f\) to find \(f(0)\) and solve \(f(x)=0\) $$f(x)=2 x-1$$

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ (0,0),(x, y) $$

Graph the given line. $$ y=3 $$

Use the given function \(f\) to find \(f(0)\) and solve \(f(x)=0\) $$f(x)=\frac{3 x^{2}-12 x}{4-x^{2}}$$

Determine whether or not the equation represents \(y\) as a function of \(x\). $$ x^{2}+y^{2}=4 $$

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) shift down 3 units; (2) shift right 2 units

Let \(f(x)=\sqrt{x}\). Find a formula for a function \(g\) whose graph is obtained from \(f\) from the given sequence of transformations. (1) reflect across the \(x\) -axis; (2) shift up 1 unit