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f(x)=(2x+1)/(x-1) with domain x>3. (a)Find the inverse of f(x). (b)Find the range of f(x). (c) g(x)=x+5 for all x. Find the value of x such that fg(x)=3.

(a) Let y=f(x). Then y = (2x+1)/(x-1). Rearrange the equation to get x in terms of y to obtain the inverse function. This gives x=(1+y)/(y-2). So the inverse of f is f-1(x)=(1+x)/(x-2)<...

LA
Answered by Lutfha A. Maths tutor
5423 Views

What is the demand and the supply in a market ? How can you draw them how do you derive the optimal price and quantity *?

The demand is the quantity that consumers demand for a good/service at a certain price. The more quantity asked,  lower is the price. The demand has a negative slope.

The supply is the quantity of ...

YK
Answered by Yannis K. Economics tutor
2212 Views

In what circumstances should the present subjunctive be used in Spanish and how is it formed?

The subjunctive is a verb 'mood' in Spanish. There are many trigger phrases for the subjunctive and it can exist in both the present and imperfect (past) tense. However, today we will focus on just the pr...

MJ
Answered by Megan J. Spanish tutor
2013 Views

Describe one study using brain imaging technology in investigating the relationship between biological factors and behaviour.

When it comes to the field of neuroscience, brain-imaging technology is widely used in regards to investigating the relationship between brain structures and behaviour, most commonly after certain brain t...

DS
5565 Views

The figure shows a sketch map showing part of a coastline where deposition is the main coastal process. Suggest how the coastline shown may change in the future.

The beach in figure 1, in the future, is likely to extend in a eastward direction extending off of the headland. I know this because the prevailing wind direction is in a south westerly direction ...

RH
Answered by Rosie H. Geography tutor
3459 Views

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