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f(x) is an increasing function when its gradient is positive. To find the the gradient of the the function we must differentiate it:d/dx f(x) = 3x² - 9. To differentiate we multiply the exponen...

(Binomial)P(G=3) : (₁₀C₃)(3/7)³(4/7)⁷

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...