Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4." How can we express these functions algebraically? f(x) =| g(x) = (fo g)(x) = (g o )(x) =

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: What is the value of g(x) when x = 3 in the piecewise function, g(x) = x2 + 1 if x > 3 and g(x) =…

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Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function g-1(7) without finding an…

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

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

A: We plug x=1 in h(x) first

Q: For f(x) = 1- x²

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

A: We have to find inverse of given function.

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

A:

Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: If f(x) = - and g(x) = 3x + 4, find (g - f)(x).

A: Using composition of function,

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

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

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Q: Find the points of inflection of the function f(x)=x3 / 1−x2.

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

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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: Find the points of inflection of the function f(x)=x2 / 1+x2.

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Q: 1. If f(x) = x + 3, what is f(4)?

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

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: What values of x would be found in the in the domain of function f(x)=10/x-2

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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: If f(x) = x-5 and g(x) = 3x2-1, what is (f° g)(x) ? %3D

A: The given functions are:fx=x-5 and gx=3x2-1To find f∘gx

Q: how can I Write the function in the form  f(x) = (x − k)q(x) + r  for the given value of k. f(x) =…

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Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

Q: 21. Find the "natural" domain of the function f(x)= 4x-10x+4

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Q: If f(x)=x²+3 and g(x)=x+2, what is (f-g)(x)? .2

A: From the given data

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

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: If f(x) = x-4 and g(x) = √x-2; then what if equal to (f/g)(x) ?

A:

Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: Find f(-3) if f(x)=x² + 2x - 1

A: Find the f(-3)

Q: If  f(x) = x2 - 2x - 2  then f(-2) =

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Q: f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it…

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Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

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: Verify algebraically whether the function is even, odd or neither: f(x) = x³ – 6x |

A:

Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

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

A: Let us denote y = f(x). So,…

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

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Q: Explain why the function has at least one zero in the given interval.          Function f(x) = x3 +…

A: Given: fx=x3+5x-3