Question

Please help image attached grade 12 math (can not use derivatives)

Answer 1

Given the functions below;

`f\left(x\right)=\log_2\left(x\right)\text{ and }g\left(x\right)=2^x`

Evaluating (g - f)(12) gives;

`\begin{gathered} \left(g-f\right)\left(x\right)=g\left(x\right)-f\left(x\right) \\ =g\left(12\right)-f\left(12\right) \\ =2^(12)-\log_212 \\ =4096-\log_212=4092.41503=4092.42\text{ \lparen two decimal places\rparen} \end{gathered}`

Hence, the answer is

`\begin{equation*} 4092.42\text{ \lparen two decimal places\rparen} \end{equation*}`