91Ó°ÊÓ

Given that the functions \(\mathrm{f}\) and \(\mathrm{g}\) are defined by the rules \(f: x \rightarrow 2 x+3\) and \(g: x \rightarrow 4-x\), determine where the input number is mapped. $$ f: 2 \rightarrow ? $$

Given that the functions \(\mathrm{f}\) and \(\mathrm{g}\) are defined by the rules \(f: x \rightarrow 2 x+3\) and \(g: x \rightarrow 4-x\), determine where the input number is mapped. $$ f: a+1 \rightarrow ? $$

Given that the functions \(\mathrm{f}\) and \(\mathrm{g}\) are defined by the rules \(f: x \rightarrow 2 x+3\) and \(g: x \rightarrow 4-x\), determine where the input number is mapped. $$ f: a-3 \rightarrow ? $$

Given that \(\mathrm{g}\) takes a real number and triples it, then \(\mathrm{g}(\mathrm{x})=?\)

Given that \(\mathrm{f}\) takes a real number and divides it by 5 , then \(\mathrm{f}(\mathrm{x})=?\).

Given that g takes a real number and subtracts it from 10 , then \(\mathrm{g}(\mathrm{x})=?\).

Given that \(\mathrm{f}\) takes a real number, multiplies it by 5 and then adds 4 to the result, then \(\mathrm{f}(\mathrm{x})=?\).

Given that \(\mathrm{f}\) takes a real number, doubles it, then subtracts the result from 11 , then \(\mathrm{f}(\mathrm{x})=?\).

Given that h takes a real number, doubles it, adds 5, then takes the square root of the result, then \(\mathrm{h}(\mathrm{x})=?\).

Evaluate the given function at the given value \(\mathrm{b}\). $$ \mathrm{f}(\mathrm{x})=12 \mathrm{x}+2 \text { for } \mathrm{b}=6 $$