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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
2894 Views

How is the theme of violence portrayed in Shakespeare's 'A Midsummer Night's Dream'?

Despite being on of Shakespeare's comedies, A Midsummer Night's Dream ( AMND ) is a play set in the fallout of the Athenian-Amazonian war, and the farces that drive the comedic plots constantly threaten to t...
JS
Answered by Jaxon S. • English tutor
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A plane is entering a turn, identify the main forces acting on it (including central forces)

The student will draw a picture of a plane with an arrow for weight acting downwards, an arrow for lift acting normal to the wings upwards and an arrow inwards for the central force that a rotating object ha...
DG
Answered by Daniel G. • Physics tutor
2079 Views

Discuss the problems with government funding and the concept of access to justice.

The introduction of the Legal Aid, Sentencing and Punishment of Offenders Act (2012) introduced the most radical cuts to the legal aid system since the latter’s introduction in 1949. The 2012 Act created cut...
RM
Answered by Ross M. • Law tutor
5884 Views

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
14750 Views