5 Let f(x) x5 and g(x) x. Simplify or evaluate the function g(f(u)

Q: 5. Sketch the function f(x) x(x - 3)(x – 4)

A:

Q: 7. Consider the function g(x) = =-4 Describe how the function g(x) was transformed from the parent…

A:

Q: Find functions f and g such that  G = f ∘ g.  (Use non-identity functions for  f(x) and g(x)  G(x) =…

A: The solution of the problem is given in the next step.

Q: Finf two functions f and g such that (f ∘ g)(x)=h(x). H(x)=1/(x+2)

A: Using composition of functions ,

Q: 59. The function f is neither left- nor right-continuous at x = 2. 6.

A:

Q: (a) Express the new function g(x) = 2 * in terms of the original function f (X) = 2*. g(x)

A:

Q: snip

A: We have, f∘gx=fgx Let us consider, fx=1x ;  gx=x Then we get, f∘gx=fgx=fx=1x

Q: 1 Find the domain of the function f(x) 2 - 25 (pp. 52-54)

A: To evaluate The domain of a function f(x)=x2-1x2-25 Let y=f(x)=x2-1x2-25

Q: 3 Let f(x) = x° -7. Simplify or evaluate the function f(Vx+7

A: We have to evaluate the function: fx+73 where function is given as: fx=x3-7 In this case we need to…

Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Evaluate (f+g)(3)

A:

Q: Discuss the continuity of the composite function h(x) = f(g(x)).

A: Given  The  functions are f(x)=5x+1  and  g(x)=x3 .

Q: The function notation f^-1 (x) mean 1/f(x)

A: Yes this statement is true. And also f-1(x) is inverse of a function. While 1/f(x) is reciprocal of…

Q: Discuss the continuity of the composite function h(x) = f(g(x)).                             f(x) =…

A:

Q: Let f(x) = 2x - 1 and g(x) = x2 + x - 2. Find the function: (f - g)(x)

A: fx=2x-1 and gx=x2+x-2

Q: Discuss the continuity of the composite function h(x) = f(g(x)).

A: Given: f(x)=1xg(x)=x-1

Q: Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = 1x. Find the functions. f (x) + g(x)

A: Since, we have been given that:-f(x)=x2-2x -(i)g(x)=3x-1 -(ii)and h(x)=x -(iii)Our Aim is to find…

Q: The function f (x) is defined below. What is the end behavior of f (x)? f (x) = -1120x + 120x2 -…

A: Given, f(x) = -1120x + 120x2 -10x4 + 80x3 +1280

Q: (a) What does it mean if a function f: A B is not surjective?

A:

Q: Find f°g and the domain of the composite function. f(x) = |x], g(x)=x+3

A:

Q: Let f and g be differentiable functions where g(x) = f-'(x) for all x. f(6) = 8, f(8) = 2, f'(6) =…

A: Explained below

Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Find the domain of f/g

A:

Q: Determine algebraically if the function is Odd, Even, or Neither. Show your work.  a.) f ( x) = x^2…

A: We have to show wheather it is even or odd or neither

Q: Function g:R → R, defined by g(x) =x*+5 is a one-to-one function. True False

A: (7) To check if g:R→R defined by gx=x4+5 is one-to-one function.

Q: Express the function H in the form f(g(x)). Use non-identity functions for f(x) and g(x).…

A:

Q: Let f(x) = x - 5 and g(x) = x2 - 1. Find the function: (f - g)(x)

A: Given, f(x) = x - 5 g(x) = x2 - 1

Q: 19. Let ƒ(x) = x/(x-2). Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

A: Given,

Q: Find f ogohif f(x) =, g(x) = x", h(x) = x + 3. 10 x+1'

A:

Q: Flag question (-x3 – 4x + 20 ,x > 3 2 - 7x , x< 3 Determine whether the function f(x) is continuous…

A:

Q: 17) Let f(x) : Find a %3D X - 9 function y = g(x) so that (f •g)(x) = x. %3D

A:

Q: 4. Test algebraically whether or not the functions are even, odd, or neither. SHOW WORK! A.) f(x) =…

A: Our objective is to check algebraically whether the functions are even, odd, or neither.

Q: Differentiate the function.

A: The given function is ,gx=lna-xa+x the above function can be written as, gx=lna-x-lna+x…

Q: practice question 22

A: Given,

Q: Find possible choices for outer and inner functions ƒ and g such that the given function h equals ƒ…

A:

Q: Define functions f, g, and h such that F( x) = 1 /x^2 −1 = ( f x g x h)( x) and the domain of F is…

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x² – 2. (f + g)(-2) (f + g)(-2) = %3D

A:

Q: 7. Consider the function g(x) ==-4. Describe how the function g(x) was transformed from the parent…

A:

Q: Find functions f and g so that h(x) = (f o g)(x). h(x)-2 -7 f(x) = 1/x-, g(x) =x - 7 f(x) = 1/x²,…

A:

Q: Consider functions f : [5] → [9] (a) How many of the functions are injective

A: Given :  f :5→9  Calculate : Number of injective functions.

Q: Express the function in the form f. g. (Use non-identity functions for f and g.) F(x) = (3x + x2)4…

A: topic - composite functions

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: 12-Sketch the function. · F(x)= - (x-1)(x+3)(x-7)

A: Topic:- function

Q: 3. Find (f-g)(x) if f(x) = 22 +x+1 and g(x) = x2- r - 1. %3D %3D

A: Given, f(x)=x2+x+1g(x)=x2-x-1

Q: Let f(x)=3x-1 and g(x)=2-x2. Find f(f(x))

A: Given, fx = 3x-1  gx = 2-x2  We have to find ffx

Q: 2) Let f be a function given by (Зх + 2 if x > 1 if -2 <x <<1 x < -2 f(x) = - х2 — 1 if Find f(0),…

A:

Q: Function f is defined as follows: f(x) = { (x−2)² +3, x+1 30 2 " 0≤x≤3 3 5

A: This is a problem of real-valued function and Integration of area and inequality.

Q: 2. Let f(x) be the following piecewise-defined function -x3 – 6, x 2 (a) Sketch the graph of f(x).…

A: Definition used –           Piecewise function –  A piecewise function is a function in which more…

Q: 2. Let f(x) = 2x + 1 and g(x) = a. Determine the domain and range of both f(x) and g(x).

A: Given:fx=2x+1 , gx=1x-3a.Domain of fx:2x+1≥0       2x≥-1x≥-12x≤12 Domain is (-∞,12]y=2x+1x=12,…

Q: Let f(x)=e*+1) > Find f(x). State the domain of f(x) %3D >

A: f(x) = e(x+1) Since f is from R to R+ Hence f-1 is from R+ to R

Q: Let f be the function defined by f(x)=x3+x2+x. Let g(x)=f-1(x), where g(3)=1. What is the value of…

A:

Q: x7-x 2- Show that the function f(x): odd or even 1+x*

A: When x replace _x then we have same function it is even otherwise odd