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: Let f(x) = 7x + 3. Find f(x). f(x) ||

A:

Q: The sketch represents f(x) = x² + x – 6 and g(x) = -x – 3 P M

A: We have given functions  f(x) = x2+x-6  g(x) = -x-3 As we have given to solve for  f(x) < g(x)…

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: The function f(x) = x/(x - 2) is one-to-one. Find f -1

A: Given the function fx=xx-2 is one-to-one. To find: f-1 Solution: Given function can be written as:…

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

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: f (x) = x-5>2

A: The given inequality is x-5>2. Solve this inequality as follows.

Q: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: Derive f(x)= x6-x+1 I+x+ 9x

A: y=x6-x+1x6+x+1

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: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

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: Evaluate f(x) x² - 2 g(x) = x - 5 %3D %3D find [ f(x) + g(x) ] (- 4 )

A: We have to find the value

Q: let f(x) = 7/x+5  find the difference quotient in the form f(x)-f(a) / x-a and simplify your answer…

A: Given, fx = 7x+5  We have to find difference quotient fx-fax-a