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Mathematics: Post your doubts here!

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Well bro, i got most of that figured out myself, h and k are turning points and they're 2,8 so i got that right.My main problem was in the g(x) functions.Could you solve that out on a page and post?

for the first image...for g(x) to be an iverse we need to define domain for either x>=2 or x=< 2 ...from the range in question in question i.e k=<x=<4 we see tht x=>2 nd thus k=2
...well the second image is self explanatory
 

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Can someone prove this identity please ? :')
ZaqZainab
s74ErF.jpg
 
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2 Find the set of values of k for which the line y = kx − 4 intersects the curve y = x2 − 2x at two distinct points. [4]

From s09p1.
I get we have to equate the answer and then use the discriminant but after getting 2 and -6 how do you know what each inequality we need to put?
Like the answer is k>2 and k<-6
How do we get this part right?
 
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