2. Show that if a > 0, then the sequence (²x²e¬n) converges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx

Q: f(x)=4x-x2. Simplify f(a+h)-f(a)/h

A:

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

A:

Q: What is the domain and range of h(x) = x² + A ?

A: Given: h(x)=x2+A

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

A:

Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: find f-1 (x) for the one-to-one function f(x) =4x+1 divided by 5

A: Given function is f(x)=4x+15 Also given that f(x) is one-to-one function Now we have to find f-1x

Q: F(x) = 3x-5 evaluate f (-2 1/5)

A: Convert the mixed fraction into improper fraction. -215=-115

Q: find f-1 (x) for the one-to-one function f(x) =4x+1/5

A: