Answer:
<u>Option C.</u>
Step-by-step explanation:
See the attached figure which represents the graph of the given options.
To determine if a line represents a valid function, we may use the vertical line test.
If it is touching more than one point on the line at a time, the line is not a valid function.
So, according to the previous rule, the function of figure C is a function and its inverse is also a function.
<u>The answer is option C.</u>
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
2s cancel.
The natural log and e cancel.
s cancel.
7s cancel.
Hope this helps!