a) Determine the equation of the inverse of the quadratic function(x) = x square -4x+3. b) List the domain and range of f(x) and its inverse. c) Sketch the graph of f(x) and its inverse.

Question

mtalhahassan2 · Answer

Please help me with this question!@

campbell_st · Answer

ok... so swap x and y

$$x = y^2 - 4y + 3$$

so looks like you should subtract 3 then complete the square... as a starting process

mtalhahassan2 · Answer

bro why don't we have to put the equation in vertex foam

campbell_st · Answer

it's not necessary... it's a question with a variety of methods available to solve it.

mtalhahassan2 · Answer

so what is the next step

campbell_st · Answer

ok... so subtract 3 and you get

$$x - 3 = y^2 - 4y$$

complete the square in y on the right side and add the value to both sides.

campbell_st · Answer

just post you're solution to the next step

mtalhahassan2 · Answer

ok

mtalhahassan2 · Answer

But how can we find the domain and range?

campbell_st · Answer

well start by finding the inverse...

mtalhahassan2 · Answer

Please tell me about that ?

campbell_st · Answer

it's easier to see and understand the domain and range of the inverse, after you have found the inverse.

campbell_st · Answer

so what domain and range do you have for the original function?

mtalhahassan2 · Answer

2,3

campbell_st · Answer

nope... the domain are the x values you can input into the function. 
            the range are the output values.

mtalhahassan2 · Answer

So it we the answer for inverse function: x - 3 = y^2 - 4y

mtalhahassan2 · Answer

I am confuse

mtalhahassan2 · Answer

What we do after this x - 3 = y^2 - 4y

campbell_st · Answer

nope that's the start you need to complete the square on the right hand side so its a factored perfect square.

mtalhahassan2 · Answer

but who

mtalhahassan2 · Answer

Can you please show me?

mtalhahassan2 · Answer

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