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Prove that the composite function fg(2)=-26 where f(x)=3x+1 and g(x)=1-5x

Here, f(x) and g(x) are functions of x, whose output depends on the value of x.

fg(2) means fg(x) where x=2.

Firstly, calculate g(2) and use this answer as the new value of x for f(x).

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AL
Answered by Alisha L. Maths tutor
13401 Views

Aversion therapy is a method used in treating compulsive habits. Indicate two potential compulsive behaviours that can be treated using aversive therapy and highlight the mechanism behind the effectiveness of this therapeutic approach.

Aversive therapy is a relatively short-lasting therapeutical intervention where an individual is exposed to a stimulus and, simultaneously, is subjected to moderate-to-severe discomfort. This negative rei...

AP
Answered by Alex P. Psychology tutor
2130 Views

Arteries carry blood away from the heart whereas/or veins carry blood towards the heart.M2: Arteries have much thicker walls than veins (due to the thicker muscle and elastic layers) M3: Veins tend to have valves (this prevents backflow)

Arteries carry blood away from the heart whereas/or veins carry blood towards the heart.M2: Arteries have much thicker walls than veins (due to the thicker muscle and elastic layers) M3: Veins tend to hav...

AA
Answered by Aisha A. Biology tutor
4621 Views

Factorise fully 3a^3b + 12a^2b^2 + 9a^5b^3

The first step here is to find a common factor in each term. If we first look at the coefficients of each term we can see the first common factor is 3, so we can write that first outside of our brackets. ...

EG
Answered by Ellie G. Maths tutor
6434 Views

How do you use the product rule?

The product rule is used to find the differential of expressions of the form y = u(x)*v(x) where u(x) and v(x) are functions in terms of x. An example of such an expression could be 

LL
Answered by Laura L. Maths tutor
3903 Views

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