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:
<h3>r =-12</h3>
Step-by-step explanation:
Money spent at grocery store = x, money spent at game store = y
x = 24
x = 2y - 6
24 = 2y - 6
24 + 6 = 2y
30 = 2y
30/2 = y
15 = y <=== spent 15 at game store
Answer:
volume = l×b×h
= 7.2cm×3cm ×9cm
=194.4
Step-by-step explanation:
Hope it will help
<h2>
<em>Brainlists please</em></h2>
