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Find g(f(x)) where g(x)=2x+4 and f(x)=x^2+1.

With functions of functions you work from the inside out, so you substitute the function f(x) for the x in g(x). We know that f(x)=x 2 +1 and g(x)=2x+4. In this question you therefore replace the x in 2x+4 w...
GM
Answered by Georgina M. • Maths tutor
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Factorise 3x^2 + 14x + 8

To factorise polynomials of the form a x^2 + b x + c , we want to rewrite the middle coefficient as the sum of two smaller numbers. The product of these two numbers should be equal to a * c (in this case, 3 ...
AM
Answered by Alex M. • Maths tutor
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A circle C1 has a centre at (3,0) and a radius 8. A second circle C2 has a centre (x,0) and radius 6. Given the radii of the 2 circles meet at right angles. Find x

Gven the radii of the circles meet at right angles then a right angled triangle can be constructed were the hypotenuse is the distance between the centres. Using the Pythagorean triplet, the hypotenuse is 10...
AJ
Answered by Adam J. • Maths tutor
2969 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?

H:F F:B7:4 8:550 bungalows, so bungalows have been multiplied by 10 to get from 5 to 50. So now we have to do the same process to the flats so we multiply 8 by 10 to get 80 flats. Now we need to get to 80 fl...
IA
Answered by Isra A. • Maths tutor
8661 Views

2x^2-7x+3=0, solve the following for the two solutions of x

X=1/2X=3
AJ
Answered by Alireza J. • Maths tutor
2925 Views