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f(x) = (x+1)^2 and g(x) = 2(x-1); Show that gf(x) =2x(x+2)

In this question, we are being asked to combine the functions f(x) and g(x). The function gf(x) is 'putting in' the function f(x) into g(x). What we do is substitute whatever f(x) is into the g function l...

Answered by Meera S. • Maths tutor

7340 Views

What is rationalising a fraction?

So firstly, when we do a rationalisation problem, we are trying to get rid of any surds in the denominator(the bottom part of a fraction). Surds are numbers that have been square rooted and do not equal a...

Answered by Aditi R. • Maths tutor

2979 Views

A right-angle triangle has sides AB, BC and CA with the right -angle between sides BC and CA. The angle between AB and BC is 24 degrees. The length of AB is 12m. How long is side BC?

Firstly we draw the triangle. From here we can see that the hypotenuse is side AB and the angle we know is between this side and the side we are trying to find the length of. This is when we can use eithe...

Answered by Katherine D. • Maths tutor

2994 Views

Write 7/8 as a decimal

In a non-calculator paper use long division to decimal places when converting fractions.In this scenario, I would use the whiteboard to go through long division step-by-step.Answer = 0.875

Answered by Ebele A. • Maths tutor

2771 Views

if b is two thirds of c. 5a = 4c Work out the ratio a : b : c

So firstly, we need to write the statement "b is two thirds of c" as an equation. This can be written as b=2/3 c. As a ratio this can be written as b:c is 2/3:1 . Now we went to write the equat...

Answered by Mike T. • Maths tutor

17643 Views