Give an example of two functions h(x) and g(x), such that (h o g) (x) does not exist. Explain your answer.

Q: Differentiate the function

A: The given function is shown below:

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: Find an expression for h'(x).  h(x) = f ( f (x))

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Q: Differentiate the function with respect to the independent variable. f(x) = In (3 -x²) f'x) = D

A:

Q: What is the natural domain of the function f (x) = /5 – x?

A:

Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-x

A:

Q: Find the domain of the function.

A: Here the given function as fx=x26-x

Q: Differentiate the function. H(x) = (x+x^-1)^3 H'(x) = ?

A:

Q: Differentiate the function. 12. h(x) = In(x + /x² – 1)

A: In this question we have to differentiate the function.

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? g(x)…

A:

Q: Determine when f(x) g(x) %3D f(x) = In (3z)- 2 9(x) = e-4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Differentiate the functions. a) g(x) = Vxe*

A: We have to find Derivative of the given function

Q: Differentiate f (x)  = e(1+x)3

A: Given: f(x) = e(1+x)3 To find: The derivative of the given function.

Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

A:

Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

A:

Q: Draw an example of a function that's not invertible, and explain why your answer works.

A: Given We have to draw an example of a function that is not invertible

Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f -1(1) without finding…

A:

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without…

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: what is the domain of g(f (x))?

A:

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Differentiate the function. f(x) = e2 f'(x)

A:

Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

Q: f(x) = 3 – 2x +x

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Q: O f(x) = 5*

A:

Q: mathematically

A: We will solve the problem

Q: Find f'(x) for f(x) = 8x°e*. f'(x) = Preview

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Q: Describe the long run behavior of f() = (x – 4)(x + 3)°(x – 1)²: As a - 00, f(x) → ? As x 0, f(x) →…

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: Differentiate the function with respect to the independent variable. f(x) = (x³ - 7x) $ f'(x) =O

A:

Q: Differentiate the function. h(x) = (x – 4)(2x + 3) h'(x) =

A:

Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: Differentiate the function. h(x) = (x - 2)(5x + 3) h'(x)

A: Solution: The objective is to find the derivative of the given function

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Differentiate the function. g(x) = 7e*/x g'(x) =

A:

Q: What is the end behavior of this following function? y

A: The graph given represents a function with even power of x and a negative constant.

Q: Differentiate the function with respect to the independent variable. f(x) = In (3-x²) f'(x) =O

A: Consider the given equation is, f(x)=ln(3-x2) Then differentiate the above function with respect to…

Q: Consider the functions f (x) = Vx – 4 and g(x) = Vx – 4, are their domains the same or different?…

A: Find the domains of the given function

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function (g ∘ f)(0) without…

A: Consider the function: fx=2x-5,  gx=4x-1,  hx=x2+x+2

Q: Differentiate the function, f(x) = (3x2 - 4x)e* %3D f'(x) = %3D

A: It is given that,fx=3x2-4xex We have to differentiate the function.

Q: Let f(x)=(5)x+1. Which is equal to f(−3)?

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Q: Differentiate. f(x) = e 13x f'(x) = |

A:

Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x

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Q: Which function is equivalent to f(x) = lnx?

A:

Q: Differentiate the function. g(x) = x 2 (1-2x)

A: Given:gx=x21-2xFormula:ddxxn=nxn-1

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.