What's the inverse function of y = -3?

Question

geerky42 · Answer

x = -3

geerky42 · Answer

It is not function so...

firejay5 · Answer

so does it have an inverse function

mertsj · Answer

You can write it as y = 0x-3
Then interchange the x and y
x = 0y - 3
or x = -3
But x =-3 is a vertical line and it is not a function.

geerky42 · Answer

So no inverse function? This is what Firejay5 and I want to know...

mertsj · Answer

No.  It does not have an inverse function.  It has an inverse but the inverse is not a function.

firejay5 · Answer

so how should I explain it? It's not an inverse, because

geerky42 · Answer

Well... The inverse of y = -3 is x = -3, but x = -3 is not function so no inverse function.

directrix · Answer

A constant function does not have an inverse. Read about it on page one at this link: http://tinyurl.com/cnb9xc4

mertsj · Answer

That is the first time I ever heard that.  We know that the inverse is not a function but does that mean it doesn't have an inverse?  The function and its inverse do have symmetry about the line y = x.

firejay5 · Answer

I am putting it, "No inverse, because a constant can't be an inverse

firejay5 · Answer

would that be the right answer to the question

mertsj · Answer

http://www.purplemath.com/modules/invrsfcn2.htm

kropot72 · Answer

So y = -3 has an inverse, however that inverse is not a function.

firejay5 · Answer

@kropot72 the question that it asked me to do for each problem. Find the inverse for each one and graph it, so I can't graph it right

kropot72 · Answer

Well you could graph the inverse ( x = -3 ) and make a note that it is not the graph of a function.

firejay5 · Answer

what about y = -3

kropot72 · Answer

The question appears to just require you to graph the inverse function and not the original function ( y = -3 )

firejay5 · Answer

I meant to add graph the function and its inverse

geerky42 · Answer

Don't you know how to graph y = -3 ?

firejay5 · Answer

yes

geerky42 · Answer

and x = -3 ?

Just note that x = -3 is not inverse function.

firejay5 · Answer

I will

firejay5 · Answer

what's g(x) = 2x + 3 over 6

geerky42 · Answer

$$g(x) = \dfrac{1}{3}x + \dfrac{1}{2}$$

firejay5 · Answer

$$\frac{ 2x + 3 }{ 3 }$$

geerky42 · Answer

2x + 3 over 6 or 2x + 3 over 3?

firejay5 · Answer

@satellite73

geerky42 · Answer

Yup, it is g(x)=1/3 x+1/2

firejay5 · Answer

when I graphed it  it was only 1 line

geerky42 · Answer

It is because 1/3 x+1/2 is linear function.

firejay5 · Answer

what about 2x + 3 over 6

geerky42 · Answer

Same thing. It is linear function.