Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.
Answer: 2
Step-by-step explanation:
Vertical asymptotes can be solved by setting the denominator equal to zero.
x(x+1) = 0
Solve for 0 now by setting both x and x+1 equal to zero
x = 0
x + 1 = 0
x = -1
Because there are two factors in the denominator, the answer would be two.
The graph of that function has 2 vertical asymptotes (one at x=0 and the other at x=-1)
Answer:
Hunting
Step-by-step explanation: