Problem from cauchy's equation and involutions chapter:
find all functions hinn which satisfy
2f(a+b) = f(a) f(b)+1
for all a, b \small \in \mathbb{n} . provide all working, justifying and explaining all steps taken.

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).