Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
Answer:
¹/15
Step-by-step explanation:
Area of the rug = s²
Where s = 2 m
Area of the rug = 2² = 4 m²
Area of the rectangular carpet = length × width
Where,
Length = 12 m
Width = 5 m
Area = 12 × 5 = 60 m²
Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15
Answer:
answer is option D (56)
Step-by-step explanation:
7×8 = 56
Answer:
2 11/12
Step-by-step explanation:
3/4 + 2 1/6
Add the fractions.
35/12
= 2 11/12
Answer:
D.(2,0) and (0,-4)
Step-by-step explanation:
A P E X approved.