Derive the 4-point forward formula for f"(x) by using values f(x), f(x+h), f(x+2h), and f(x+3h). Show your work!

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: Show that f(x) = (3x - 2) / (5x - 3) , is its own inverse ?

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: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

A:

Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

A:

Q: f (x) = x-5>2

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

Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x>0  for every x on some interval I, then fx is…

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A:

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: If f(x) = ax, show that f(A + B) = f(A) . f(B).

A: given: fx=ax we have to show that f(A + B) = f(A) . f(B)