Fun(ction) question

Hi, can someone check my working out for this please?

And also clarify if I substitute the x values into the 1st or 2nd equation (written in red on the image)


Thank you

Hi, can someone check my working out for this please?

And also clarify if I substitute the x values into the 1st or 2nd equation (written in red on the image)



Thank you

You should show how you got the x values. What does the rest of your question mean?

Think of it like your have 2 graphs
2f(x) and f(0.5x)
You want to find when they intersect so you set them equal to eachother to find if they have the same x coordinate
Than you sub the x values to those graphs, 2f(x) or f(0.5x)
As they intersect, they both give the same y values

Yes I normally would but just to make the working out easier to follow I omitted it- just used the quadratic formula and then substituted it into equation 1

It factorises though - not sure why youve gone further as it's solved!

How do you mean?
Sum of 3 and product of -7/4?

x4 gives 7x^2 + 12x - 4 = 0
(7x - 2)(x + 2) = 0
x = 2/7 or x = -2 end of question

How do you mean?
Sum of 3 and product of -7/4?

He meant you could work out the factors by simplifying the equation instead of using the quadric formula

Right thanks, I didn’t see it like that.

Do you have any recommendations for trying to spot quicker ways of doing stuff because I always sort of make it harder than it needs to be.

She ...

He meant you could work out the factors by simplifying the equation instead of using the quadric formula

She ...

Sorry

Sorry

He actually so all good

I think the 'he' was directed at me