Express the following functions in terms of function f where y f(x). Professor Lapan's Helpful Hint: Write each function described in terms of the function f. For 1 instance, if g(x) was half as large as f(x), then a(t) = -g(t). a. The values of function g are always three times as large as the corresponding values of function f. Preview syntax error: this is not an equation b. The values of function h are always four more than the corresponding values of function Preview

Q: Express the function in the form f ∘ g ∘ h.

A: A function is a relation between input and output variables wherein each input variable is related…

Q: Determine (algebraically) whether the given function is even,odd,or neither.

A: To determine (algebraically) whether the given function is even, odd, or neither. f(x)=x1+x2

Q: Find the value f(a+h) for the function f(x)=9

A: Here is given function is f(x)=9 Here is f(x) is constant function

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

A:

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: -бх +3х?-2х +1 y =

A:

Q: Express the given function h(x) = l3x - 4l as a composition of two functions f and g so that h(x) =…

A: Given :h(x) = 3x -4To express h(x) as a composition of two function f and g so that  h(x) = (f∘g)(x)…

Q: Evaluate the piecewise function at the given values of the independent variable. 3x +3 if x <0 f(x)…

A:

Q: Use the given graph of the function to find the x-values for which f is not differentiable.

A: Using graph to find the x-values where function is not differentiable

Q: Consider the following function: f(x) x² – 3x – 12 = Step 1 of 4: Determine f '(x) and f"(x).

A: Given,          fx=13x3+x2-3x-12

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: Find all functions of the form g(x) = mx + b that commute with the function f (x) = 2x. Can you…

A: Find all functions of the form g(x)=mx+b that commute with the function f(x)=2xwe need to explain in…

Q: Consider the following functions f (x) = x2 – 1 and g (x) = 2-: %3D What is the value of fog(x) when…

A:

Q: Differentiate the following function. 6 f(x) = 12 e

A: Our Aim is to differentiate the function given below:f(x)=12ex6 -(i)

Q: Consider the following function. g(x) = x2⁄3 If a ≠ 0, find g′(a).

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 4x +3 if x< 0 f(x)…

A: Given piecewise function is  fx=4x+3       if x&lt;03x+6       if x≥0

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: Express the following functions in terms of function f where y=f(x). The values of function g are…

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Q: Find the domain of the following function f(x) = Vx2 - 1

A: Here, the given function is: f(x)=x2-1

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: Consider the following function: 6x + 9 f(x) = x+ 8 Step 1 of 2: At what x-value is the function…

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Q: Express h(x) as a composition of two functions:    h(x) = ∛( x2 + 1).

A: Given: h(x)=x2+13 To find: The composition of two function. That is h(x)=f(x)∘g(x)

Q: Consider the following function: y = x²*. ||

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Q: 1-t For which functions does y' ? Select all that apply.

A: Given that  y' and we find a function f(x,y). Here i attached solution of this question.

Q: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

A: f(x)=(x-2)(x-4)(x+5)Substitute x=3 in f(x)

Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: find functions f and g so that f ∘ g = H.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Differentiate the following function. f(x) = 186.1

A:

Q: Calculate the output for the function with he given input. If there is no possible output for the…

A: The given function isfx=xx-1. Here function fx is not defined if x-1=0. x-1=0x=1 So, the function is…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A: To find: Derivative of yy+1 with respect to x, assuming that y is implicitly a function of x.

Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: Evaluate the piecewise function at the given values of the independent variable. 5x + 3 if x 0 (a)…

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Q: Find the domain and range of the following function * x+1 y = х — 1 -

A: the given function isy=x+1x-1to find domain and range of y

Q: Differentiate the following function.   y = xex2

A:

Q: Find the domain of the following function 1 f (x) = 2+ %3D

A: To Determine :-  The domain of the function : f  x  = 12 + x

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Differentiate the following function. f(x) =x° e 10x f'(x) =O

A: Topic :- Differentiation

Q: Q1:- Find the domain of the following functions: a) f(x) = |x|+

A: See the attachment

Q: Which of the following describes a true relationship between the functions f(x) = (x- 3)2 +2 and…

A: We have the following graph

Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…

A: We have given population modeled by the function  f(x)=16869(1.037)^x For initial population put x=0…

Q: Differentiate the following function. f(x) = 2e2x f(x) = 2 e (2e2x) =]

A: Given: fx=2e2x We know that ddxekx=kekx                                                          ..1

Q: Given the following function: x² – yx' R² → R²: ƒ (x, y) = xy Does a function Fexist, such that VF =…

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Q: Evaluate the piecewise function at the given values of the independent variable 5x +3 if x<0 f(x) =…

A:

Q: Differentiate the following function. f(x) = 4 e 3x 4 e 3x) = [ dr

A: We have to differentiate the following function,  f(x)=4e3x differentiate with respect to x,

Q: Evaluate f(1/2) for the function f(x)=e^x+1

A:

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: Consider the following function. f(x) = { 35 4x – 1 if x 1

A: We will use the fact that

Q: Consider the following functions. f(x) = x and g(x) = x2 – 10 Step 4 of 4; Find -(-2).

A:

Q: Identify the parent function of f (x) = (x + 3)³. Select the correct answer below: O Constant O…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.