Write the functions f(x) = Σ 33n+1 and g(x) = Σ – n=0 n=0 24n+2 n! in terms of familiar functions.

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: Let f(x) = 1- 8x + 4x². Calculate the following values: f(a)= 4a²-8a+1 f(a+h) = 4a²+ Sah+ 4h²-8a-8h…

A: To find the value of difference quotient.

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: Please determine the domain of the function

A:

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Suppose we have two functions. One is P(t) , which models the number of photographers entering the…

A: (a) The function P(F(x)) would not make any sense because F(x) s the function  and it will give…

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

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: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.