<span>f(g(x))= x and g(f(x))=x</span>
Answer:
p = -5 (only)
Step-by-step explanation:
It looks like we want to count solutions for ...
(1.5p -1) = (1 +1.1p) -4
0.4p = -2
p = -2/0.4 = -5
For p having a value of -5, the binomial (1.5p -1) = -8.5 will be smaller than the value of (1 +1.1p) = -4.5 by 4.
Assuming this is the equation you want to operate on:



Before final operation we have to assume that x is not equal to 0. :)
Relative extrema occur where the derivative is zero (at least for your polynomial function).
So taking the derivative we get
<span>20<span>x3</span>−3<span>x2</span>+6=0
</span><span>
This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.</span>
Answer:
Here is your answer
Step-by-step explanation:
xy = 1
Hope you like it : )