Answer:
This contradict of the chain rule.
Step-by-step explanation:
The given functions are
It is given that,
According to chin rule,
It means, 
is differentiable if f(g(c)) and g(c) is differentiable at x=c.
Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule
Answer:
Step-by-step explanation:
To find inverse of a function, follow the steps below:
1. replace h(x) with y
2. Interchange x and y
3. Solve for the new y
4. Replace y to 
(this is the inverse function)
<u>Step 1:</u> y = -2/3x+6
<u>Step 2:</u> x = -2/3y+6
<u>Step 3:</u>
<u>Step 4:</u>
This is the inverse function.
To prove two equations have infinite solutions, you have to prove that those two equations are the same equations, but in a different form.
For example: Prove the equations are infinite
5y=2x+7
10y=4x+14
If you multiply the first equation by 2, and substitiute any of the numbers, you will get 0=0
We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
