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we are given


(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it

we can simplify it


(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):

we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):

Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪
..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):

we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):

Since, it is quadratic equation
so, its range will be

now, we can find common range
so, range will be
∪
.............Answer
Answer:
£3,543.54
Step-by-step explanation:
Amount after 2 years = Principal + interest
Get the interest
Interest = PRT/100
Interest = 3003 * 9 * 2/100
Interest = 3003 * 18/100
Interest = 30.03 * 18
Interest = 540.54
Amount after 2 years = 3003 + 540.54
Amount after 2 years = £3,543.54
Answer:
g = 0 or g = -1/2
Step-by-step explanation:
Solve for g:
8 g^3 - 2 g^2 = 2 g^3 - 5 g^2
Subtract 2 g^3 - 5 g^2 from both sides:
6 g^3 + 3 g^2 = 0
Factor g^2 and constant terms from the left hand side:
3 g^2 (2 g + 1) = 0
Divide both sides by 3:
g^2 (2 g + 1) = 0
Split into two equations:
g^2 = 0 or 2 g + 1 = 0
Take the square root of both sides:
g = 0 or 2 g + 1 = 0
Subtract 1 from both sides:
g = 0 or 2 g = -1
Divide both sides by 2:
Answer: g = 0 or g = -1/2