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How do I determine the domain and range of a composite function, fg(x) ?

Firstly I would state the rule that for any composite function fg, its domain is always the domain of g. If the student would like to know why this is the case, I would simplify the expression fg(x) to f(g(x...
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Answered by Rhys S. • Maths tutor
11725 Views

How can I make my performance more naturalistic?

A vital aspect of a naturalistic performance is the idea of motivation . You have to remember that in a naturalistic performance, you are trying to present your character as a real person, with real desires ...
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Answered by Samuel W. • Drama tutor
5242 Views

What is the 'immediate future' tense and how do I formulate it?

The immediate future tense is an easy tense to learn, as it is formulated in a very similar way in both French and English. It is used to describe actions that are "going to happen" (i.e. soon in t...
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Answered by Samuel W. • French tutor
6588 Views

The curve C has equation: (x-y)^2 = 6x +5y -4. Use Implicit differentiation to find dy/dx in terms of x and y. The point B with coordinates (4, 2) lies on C. The normal to C at B meets the x-axis at point A. Find the x-coordinate of A.

We start off by differentiating the equation implicitly which will give us:2(x-y) -2(x-y)dy/dx = 6 + 5dy/dxThen we rearrange to get dy/dx on it's own:dy/dx = (2x-2y-6)/(2x-2y+5) For the second part of the qu...
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Answered by Jake M. • Maths tutor
3810 Views

A circular table has a diameter 140 cm. Calculate the area of the table in cm^2, leaving your answer as a multiple of pi.

The equation for a circle is pi x radius x radius. So,first we need to find the radius which is half the diameter, 140 divided by 2 equals 70 cm. As the question asks for the answer as a multiple of pi there...
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Answered by Fraser S. • Maths tutor
8479 Views