Give an example of the 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: Find an expression for h'(x).  h(x) = f ( f (x))

A:

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 the domain of the function.

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

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

A:

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

A: We have to find Derivative of the given function

Q: How are the zeros of g(x) related to the standard form of the function?

A:

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

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

A: f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x2 + x + 2   g(0)= 4*0 - 1        = 0 - 1        = - 1 g(0)= - 1

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: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

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: Find ao of the function f(x) =÷(n - x)² 4

A:

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

A:

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

A:

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

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: Consider the function: f (x) = 3 |x|+x2 – 1 Find f(-2) exactly

A: Given:- f(x) = 3|x|+x2-1 To find:- f(-2)

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

A:

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as…

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: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

A:

Q: 1, Differentiate the function. (7) f(x)= e (8) f(x)= (9) f(x)= Vx+/2x+ V2x (10) f(x)= 81+

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Let flx)=-x²-x+6 and g(x)=2x+5 , find f(g\x))

A:

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

A:

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: sketch g(x) = f(x + 3) -2. %3D

A:

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

A:

Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

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: f(x) = (4x2 – 5x)e"

A:

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

A:

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

A: Here we differentiate the given function.

Q: Find  f' in terms of g' .

A:

Q: Differentiate the function: f(x) = √(1+3e4x)

A:

Q: What do all members of the family of linear functions f(x) = 1+m(x+3)have in common? Sketch…

A: Given: The linear function, fx=1+mx+3.

Q: What is the linear function of f(x)= -1/2x

A: Linear function

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: 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.