if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x

fg(x) = 7(4/x-2) -1 = x

28/(x-2) - 1 = x

28/(x-2) = x +1

28 = (x+1)(x-2)

28 = x2 - x - 2

0 = x2 - x - 30

0 = (x-6)(x+5)   x=6 x=-5

SW

Related Maths A Level answers

All answers ▸

differentiate with respect to x: (x^3)(e^x)


The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.


How can the cosine rule be derived?


Integrate, by parts, y=xln(x),