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I like to think of gf(-5) as g ( f(-5) ), which helps visualise the order in which you need to calculate the output for each function. First you need to find the answer for f(-5), which you then use as t...

2x²-2x+4
=2x²+2x-4x+4
=2x(x+1)-4(x+1)
=(x+1)(2x-4)

A stationary point indicates that the gradient at that coordinate is 0. Hence we need to find the gradient of the line, set this to 0, and then substitute our value of x. Find dy/dx. Remember the equation...

Before attempting to re-arrange the equation, we take an organic approach to looking at asymptotes:1) What happens to y when x=0 and when x -> infinity? What happens to x when y=0 and when y -> infi...

Radius = 1, therefore diameter = 2Let x be the length of one side of the square.Using Pythagoras,x² + x² = 2²2x² = 4x = sqrt(2)Area of isosceles triangle = side...