Question

f(x) = 2x + 5. Find the inverse of f(x).O A. f-1 (2x) = 2x - 5O B. f-1(x) =O c. f-1(x) = 12OD. f-1 (2) = 5 – 2xSUBMIT

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} f\mleft(x\mright)=2x+5 \\ f(x)=y \\ \Rightarrow y=2x+5 \\ y=2x+5 \\ We\text{ will substutute ''x'' for ''y'', we have:} \\ y=2x+5\Rightarrow x=2y+5 \\ x=2y+5 \\ \text{Make ''y'' the subject of the equation, we have:} \\ 2y=x-5 \\ y=(1)/(2)x-(5)/(2)\Rightarrow y=(x-5)/(2) \\ y=f^(-1)(x) \\ \Rightarrow f^(-1)(x)=(x-5)/(2) \\ \\ \therefore f^(-1)(x)=(x-5)/(2) \end{gathered}`

Therefore, the correct answer is B (x - 5)/2