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Consider the functions f and g where f(x)=3x-5 and g(x)=x-2. (a) Find the inverse function for f. (b) Given that the inverse of g is x+2, find (g-1 o f)(x).

(a) In order to find the inverse of a function, it is easiest to swap x and y and solve for y. Here this would give, x=3y-5 => x+5=3y => (x+5)/3=y. Hence, f-1(x)=(x+5)/3. (b) Here it is important to...

RM
Answered by Rebecca M. Maths tutor
2703 Views

How do I analyse an unseen piece of drama or prose?

Although the poem may seem the less daunting choice for the unseen commentary, an analysis of the extract of drama or prose can be equally rewarding. My advice is to treat every text as you would a piece ...

VF
7634 Views

Describe the function of oxygen in oxidative phosphorilation.

Overview of oxydative phosphorelation: At the end of the electron transport chain, electrons are transferred to molecular oxygen, which splits in half and takes up H+ to form water.

TL
Answered by Theodora L. Biology tutor
1667 Views

With reference to relevant research studies, to what extent is one cognitive process reliable

The extent to which memory is a reliable process has been extensively explored empirically. Despite the importance based on eye witness testimony within legislation, as early as 1932, research indicated t...

MH
Answered by Millie H. Psychology tutor
2450 Views

Find out the stationary points of the function f(x)=x^2*e^(-2x)

Using the product rule (u'v+v'u, where u and v are the chosen substitutes) to find the first derivative will be dy/dx=x'=2xe^(-2x)+x^(2)e^(-2x)(-2)=2xe^(-2x)(x-x^2). This will give the d...

BI
Answered by Bilkan I. Maths tutor
2980 Views

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