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For all values of x f(x) = x^2 + 2 g(x)= x - 5 show that fg(x) = x^2 -10x +27

Firstly, we have to substitute g(x) into the function f(x)So, fg(x) = (g(x))^2 +2
Next we must rewrite the equation on the RHS in terms of x only
So, fg(x) = (x-5)^2 +2
Next we must simpli...

Answered by Yasmin S. • Maths tutor

7473 Views

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

Good question! This is exactly the kind of question that could come up on the GCSE non-calculator paper. I think the main thing that makes this question tricky is sifting out the information and figuring ...

Answered by Ellie J. • Maths tutor

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The point P has coordinates (3,4), Q has the coordinates (a,b), a line perpendicular to PQ is given by the equation 3x+2y=7. Find an expression for b in terms of a

Firstly, let's have a look through the question to find the key words and write down any equations you might need. Perpendicular means the two lines cross and meet at a right angle, we also have an equati...

Answered by Charles B. • Maths tutor

5114 Views