Search our library of Maths questions

Top answers

Maths

All levels

If the functions f and g are defined: f: x--> x/5 + 4 g : x--> 30x + 10. what is x, if fg(x) = x. ?? What would fgf(x) = x^2 be??

You should insert function g into function f. (30x + 10) / 5 + 4 = 0 6x + 2 + 4 = 0 6x + 6 = 0 x = -1
This is a more complex problem:You need to do a similar task but you should do it in steps.gf(...

Answered by Lottie M. • Maths tutor

3750 Views

Prove Pythagoras' Theorem

Never in a GCSE syllabus, but still a question I had as a student and one I hear today- something, I feel, is worth going over (Similar in a sense to proving that completing the square works). We use the ...

Answered by Sam C. • Maths tutor

2943 Views

Find the point(s) of intersection of the curve y=x^2+7x+14 and y=2x+8:

Equate the two graphs:x²+7x+14=2x+8Rearrange to find a single quadratic:x²+5x+6=0Factorize and solve:(x+2)(x+3)x=-2 x=-3Sub x values into one of the original graphs to find y:(-2,...

Answered by Daniel M. • Maths tutor

3301 Views

What's the quadratic formula used for?

Firstly, it's important to understand what the formula is. It is essentially a re-arrangement of a quadratic equation, however the formula can be learnt so that it can be applied quickly within an exam co...

Answered by James H. • Maths tutor

3430 Views