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
The general form of such an equation is
x^2 + y^2 = r^2 where r = radius
In this case r^2 = 4^2 + 5^2 = 41
So the required equation is x^2 ^ y^2 = 41
B
Answer:
Steve
Step-by-step explanation:
Because it means greater than or equal to
Answer:
The answer to your question is: x = 2.41
Step-by-step explanation:
2x³ = 28
x³ = 28/2
x³ = 14
x = ∛14
x = 2.41
Upward motion
Hope that helps