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To solve this inequation:1) Group all the exes in one side and the numbers in the other one... 5x > -52) Solve x... x > -13) Result: (-1, ∞ )

May look hard at first but once understood is simple.Question is asking to add two functions together.Firstly we begin by calculation f(2x) We know that f(x) = 5 – x, to find f(2x) we replace the x by 2xT...

This method is known as completing the square. To find the constant a, we must halve the coefficient of x, which in this case is 4. This is to compensate for the double term when expanding the brackets. S...

a) y = x² + 3x + 1b) y = 2x + 3At points of intersection (a) = (b).2x + 3 = x ² + 3x + 1Note this is a quadratic expression which will solve for 2 unique solutions, providing the dis...

To find the inverse of a function, f^-1(x):1) set f(x) as y: y =  (2x + 3)/(x - 4)2) swap x and y: x = (2y + 3)/(y -4)3) solve the new equation for y: x(y -4) = 2y + 3 = xy -4x2y - xy = -4x - 3y...