The mapping diagram shows a function g(x).
1--> 3
2--> 6
3--> 9
4--> 12
which mapping diagram shows the inverse of g(x)?

Option: D is the correct answer.

We are given a function g(x) such that the mapping is as follows:

                 1-->3

                 2-->6

                 3-->9

                 4-->12

We know that for any function g(x) the inverse function of this function is nothing but the interchange of the range and domain of the original function.

i.e. the x and y value of the function get swapped.

Hence, the  mapping of inverse function will be done as follows:

               3 ------> 1

               6 ------> 2

               9 -------> 3

               12 ------> 4

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: