1 - 3 2 f(x) = 2x + 6; g(x)

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any…

A: We have to verify that the functions and are inverses of each other   We have to give any values…

Q: Show that the function is the inverse of the other: f(x) = 3x + 2 and g(x) = (x - 2) /3.

A:

Q: Discuss the continuity of the function. ( x - 4, if –1<x<2 f(x) = -x² – 6, if 2<x<5 at x = 2

A: Given function fx=x-4         if  -1≤x≤2x2-6       if      2&lt;x&lt;5 If a function fx is…

Q: Show that the function f(x) = 3x + 4 is one-to-one.

A:

Q: Which of the functions have 5 in their domain: f(x)=x²-3x

A: Given function is f(x) = x2 - 3x

Q: In Problem,the function is one-to-one.Find its inverse and check your answer.(x)= 2x /(3x - 1)

A: Given: f(x)=2x3x−1

Q: 1 if g is the inverse of function f and f(x) = 1+x? prove that g'(x)=1+{g(x)}"

A:

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any…

A: we have to verify that the functions are inverse of each other also we have to tell the values of x…

Q: In Problem,the function is one-to-one.Find its inverse and check your answer. f(x)= 4/( 2 - x)

A: Given, fx=42-xOr   y=42-x

Q: If f(x) = x + 1 and g(x) = x3 , then ___________ = x3 - (x + 1).

A: Given: f(x)=x+1 and g(x)=x3

Q: In Problem,determine algebraically whether each function is even,odd,or neither

A:

Q: In Problem,find the domain of each function.

A:

Q: If f(x) = (5x +7)°, then the value of (f-1 (x))' at (f(-1),-1) is

A:

Q: In Problem,the function is one-to-one.Find its inverse and check your answer. f(x)= (-3x + 1 )/x

A: Given, fx=-3x+1xOr   y=-3x+1x

Q: Find the inverse of f(x) = x2 + 1 if x ≥ 0. Graph f and f -1 in the same rectangular coordinate…

A: Consider the given function: Here the objective is to find the inverse of f(x) and sketch the graph…

Q: Suppose that f is an even function and g is an odd function (both with domain R) . If f(3)=4 and…

A: Given, f is an even function and g is an odd function. f(3)=4 and g(-3)=5 Identity: For even and odd…

Q: 4) If f(x) = 3*, then f(-2) equals

A: (4) Given ,  f(x) = 3x  We have to find f(-2)  Put , x = -2 in f(x) Then ,

Q: In Problem,the function is one-to-one.Find its inverse and check your answer. f(x)=( 2x - 3) /(x +…

A: Given, fx=2x-3x+4y=2x-3x+4

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any…

A: We have to verify that the functions and are inverses of each other also we have to give any values…

Q: In Problem,find the domain of the composite function f ο g.

A: Given,           fx=xx-1 and gx=-4x

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: x+3 x+1 f (x) = x+4 x+1

A: Topic = funtions

Q: Suppose that f has an inverse and f(4) = –1, f'(4) : If 11 금 what is g'(-1)?

A: Given, f(4)=-1, f'(4)=4/11

Q: Determine all of the relative extreme values of the function f (x) = 3x + 5x %3D

A:

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any…

A: Given, f(x)=x-22,  g(x)=x+2 now find inverse of f(x) y=f(x)=x-22x-2=yx=y+2 where x define function…

Q: If f(x) = -5 x + 12/x then f(3) is equal to:

A:

Q: Suppose that f and g are two functions with the same domain. If f(x) = g(x) for every x in the…

A: Fill the blanks as shown below.

Q: If f(x)=2x +3x-1, g(x) =-2x +1, then (f-g)(x) equals:

A: Given functions are                                               f(x)=2x2+3x-1g(x)=-2x2+1

Q: In Problem,find the domain of the composite function f ο g.

A: Given functions are: fx=3x-1 gx=2x The objective is to find the domain of the composite function f ο…

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: If a function f,whose domain is all real numbers,is even and if 4 is a zero of f,then…

A:

Q: In Problem,the function is one-to-one.Find its inverse and check your answer

A:

Q: 10) Suppose that the functions f and g are defined as follows. fx) = -5x² + 2x g(x) = 3x – 2 Find()…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose 5x + 2 f(x) 6 – 3x What are the domain and range of f(x) in interval notation? Domain of…

A:

Q: If f(x) = x +2 and x = -3, then slop function is

A: Given f(x)= x+(9/x) and x=-3. We need to find the slope function.

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any…

A: Given functions are fx=3-2x and gx=-12x-3. To verify that the functions f and g are inverse of each…

Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

A:

Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

A:

Q: Suppose f is a one-to-one differentiable function and its inverse f-1 is also differentiable. If…

A:

Q: In Problem,find the domain of the composite function f ο g.

A: f(x)=x-2g(x)=1-xf∘g=f(g(x))=f(1-x)=1-x-2

Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x < 1 .2 x 2 1

A:

Q: If  f(2)=−3 , determine the value of k in the function  f(x)=−2x^2+kx

A:

Q: Show that the functions are inverse functions of each other.                                  f(x) =…

A: Given: f(x)=2x3−1g(x)=x+123

Q: 10 What values of x will be found in the domain of function f(x) х— 2

A: Given the function is fx=10x-2. The domain of a function is the set of all input values for which…

Q: If f(x) = (x - 3)/ (x - 2), in what value of x makes f(x) undefined?

A: Given: f(x) = (x-3)(x-2) We know that a rational expression is undefined when the denominator is…

Q: Suppose that f(x) = (x – 5)³ g(x) = 5+ Vx – 3 +3 and Show that f(x) and g(x) are inverses of each…

A:

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1

Q: 1) If f (x) =x2 + 3x-5 and g (x) = 2x-3 determine g (1-4a) + f(-3)   2) Determine the inverse of g…

A:

Q: if f(x) = x^2-7x/x-7 and g(x) = x is it true that f=g?

A: Here we have given two functions f(x) and g(x). f(x) = x2 - 7xx-7andg(x) = x  And we have to check…