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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(x) = 30 (x/...
LM
Answered by Lottie M. • Maths tutor
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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 &qu...
SC
Answered by Sam C. • Maths tutor
3461 Views

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

Equate the two graphs:x 2 +7x+14=2x+8Rearrange to find a single quadratic:x 2 +5x+6=0Factorize and solve:(x+2)(x+3)x=-2 x=-3Sub x values into one of the original graphs to find y:(-2,4) (-3,2) I can also pro...
DM
Answered by Daniel M. • Maths tutor
3909 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 conte...
JH
Answered by James H. • Maths tutor
4098 Views

factorise x^2 - x - 6

Answered in interview
KC
Answered by Kushal C. • Maths tutor
3204 Views