Consider the functions: f(x) = X-4 x+5 * and g(x) = . Find the expression for the composition of functions: (f • g)(x) = f(g(x)). %3D Select one: O (1+5x)/(1-4x) O -2 O (1+5x)/(x(x-4)) O (x-4)/(x+5) not in the list

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

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Q: Find (f^-1)'(a) if f(x)=4x^3 + 2x^2 +4x + 8, a=8.

A:

Q: Find (f-1) (a). f(x) = 5x3 + 3x2 + 6x + 7, a = 7 (F-1)(a) =

A:

Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

Q: Sketch the graph of:

A: To sketch a graph follow the steps given below. 1) Calculate the x- intercept by taking y=0. 2)…

Q: find  f^-1(x)= for f(x)=13+10x f^-1(x)=

A: We have to find inverse of given function.

Q: 7. f(x) = x³ + 7x + 1

A: To find the end behavior of f(x)=x8+7x+1.   End behavior definition: The end behavior of a function…

Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

A:

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: 1) Write the function h(x)=1/(x-2)^2 as a composition of two functions 2)Write the function h(x)=…

A:

Q: 3x-1 and g(x) За—1 f (x) = 7 x-3 ||

A: Consider the following functions: fx=3x-17gx=2x-3 gfx=2fx-3=23x-17-3=23x-1-217=23x-227=143x-22

Q: х+ 3 f(x) %3D x2 - 9

A:

Q: Find the domain of the rationa X +4 3) f(x) = x2 - 25x

A: A rational function is a function, that can be written as a polynomial divided by a polynomial.…

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

A:

Q: find f'(x) and f''(x) for f(x) = 2x^2-3x-3/x+1 using the quotient rule and simplify. show all steps

A:

Q: 1 f(x) %3= x2-9

A: Given,           y = -1x2-9

Q: x-4 for x2

A:

Q: Find f"(x). 7 f(x) = 3x - 15x - f'(x) =

A: Given: fx=3x2-15x-7x4

Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

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

Q: f(x)= 5x(x-2)(x+4)^2/(x^2-4)(x^2-16)(x-5)

A:

Q: Differentiate f(x)=(3x^(8)-x^(-2/3))(6x^(1/3)-e^(3x))

A:

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Find the value of the constant k that makes the function continuous. 2x - 2x - 12 if x 3 g(x) = X- 3…

A: For function to be continuous

Q: Compute the Difference Quotient for g ( x ) = (5x)/(x−4).

A: Consider the given function:

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

A:

Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

A:

Q: Find f(-3) if f(x)=x² + 2x - 1

A: Find the f(-3)

Q: Find f(3) and f (-1)  F(x) = 3x-5  F(3) =  F(-1)=

A: Topic = Function

Q: 3 Let f(x) : 4x + 6

A: f(x)=34x+6=3(4x+6)-1 ddxxn=n xn-1

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Find f^-1(x) for f(x) = 9+8x f^-1(x) = ____

A: Topic = Function

Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

A:

Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

A:

Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: Evaluate f(-3) for (x)=x^3+3x+17

A:

Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

A:

Q: The domain of f(x)=1xf(x)=1x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of…

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Q: Find the intervals of monotonicity of the function f(x)=x3−12x+5.

A:

Q: Find f (x) for f (x) = 8x+3 5x+3 (x) =

A:

Q: - 5x + 9 x 3 -

A:

Q: 8. Find the zero of f(x) = 5x - 3. %3D

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Find f'(-2) for f(x) x² +1

A:

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Find f' (x) for f (x) = 8x-3e. %3D

A:

Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…

Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: Find g(f(x)) for  f(x) = 4x - 8 g(x) = 7 - 6x

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.