Short Answer: g(x) = -3x This is a teaching question.
Remark
Define and describe f(x)
f(x) is read as y is dependent of x. The notation of f(x) with some exceptions is the same thing as y. What it stands for and what it can be used for is to tell you want value x can have if you want a specific value for x.
Suppose you are given
y = x + 2
Then suppose there is another statement above it
Let x = 5
y = x + 2
y = 5 + 2
y = 7
Instead of writing the top statement
Let x = 5
You use the shorthand
f(5) = x + 2
f(5) = 5 + 2
f(5) = 7.
So what does all this come down to. It is just a short way of writing Let x = ?
f(?) is what x will equal. x will become ?.
Your Question.
Remember that f(x) tells you what x becomes
f(5) means that x = 5.
Is that more than 4 or is that less than 4? It's a serious question.
Of course 5 is greater than 4. So that means that g(x) = - 3x. You don't have to do anything. Just read it.
Answer:
not existing
Step-by-step explanation:

lim x goes to 0 is

so not exist
I'm not sure if u mean that or this
Answer:
the first one
Step-by-step explanation:
i think that's the correct answer
Answer:
your choice is correct
Step-by-step explanation:
f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.
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Comment on the graph
The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.