Suppose that the functions g and h are defined as follows. g(x) = (x+3)(x-2) h(x) =x+2 (a) Find (b) Find all values that are NOT in the domain of

Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

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: let f(x) =4x+3 and g(x) =5x-2. find the function. f-g

A: Topic:- function

Q: Let f(x) = x³ + 2, g(x) = x- - 3, and h(x) = 8x + 3. Find the rule for the function. %3D f-g

A: Given function is : fx=x3+2gx=x2-3hx=8x+3  To find the value of fx-gxhx

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

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: 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 a rule for g-1(x) if: g(x)=2x-1

A: Given  g(x) = 2x-1 We have to find  g-1(x).

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Are f(x) = and g(x) = 2x + 3 the same function? Do f(x) = 2x² +3x and g(x) = 2x + 3 have the same…

A:

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find (g - f)(x).

A: Given

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

A: Using composition of function,

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find g(f(-1)).

A: Given:

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

A:

Q: Let f(x) = 2x - 1 and g(x) = x2 + x - 2. Find the function: (f - g)(x)

A: fx=2x-1 and gx=x2+x-2

Q: If ƒ and g are real-valued functions, how are the domains of ƒ + g, ƒ - g, ƒg, and ƒ>g related to…

A: Take f:D1→ℝ and g:D2→ℝ. Then, the operation f+g is only possible when the domain is D1∩D2. That is…

Q: Find the domain of the function g(x) =1/√(x - 3)

A:

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: Consider the function f(x) = 2x° + 9x- 108x + 3, - 6 < x < 4. This function has an absolute minimum…

A: f(x) = 2x3+9x2-108x+3f'(x) = 6x2+18x-108f'(x) = 0 6x2+18x-108=0 x2+3x-18=0(x+6)(x-3)=0x=-6,3 where 3…

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: 10) Suppose that the functions f and g are defined as follows. fx) = -5x² + 2x g(x) = 3x – 2 Find()…

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

Q: Find the domain of the function. h(x) = In(x2 - 4)

A: To find the domain of: h(x)=ln(x2-4) Solution: We know, the logarithmic function is defined for the…

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

A:

Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

A:

Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

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: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

A:

Q: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..

Q: Find the function f °g and its domain if f(x)= x-1 and g(x) = x+5

A: Domain of the function is the set of all its possible inputs for which function is defined

Q: Let f(x) = x2 - 5 and g(x) = 3x + 2. Find (f-g)(5).

A: As their are two different question, we have answered first question only and if you want solution…

Q: let f(x) = x-5 / x2+x -12 and g(x)= x+3 / 3x+12 find an equation of the funtion f-g

A:

Q: Let f(x) = √20- x and g(x) = x² - x. Then the domain of fo g is equal to

A:

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: Let f(x)=-4x^3-8x^2-x+2 , g(x)=5x^3-3x^2-7x-4 Find (f-g)(x) Find (f-g)(-1)

A: f(x)=-4x3-8x2-x+2, g(x)=5x3-3x2-7x-4To find: (f-g)(x), (f-g)(-1)

Q: Find the domain of the function. g(x) = In(x - x2)

A: The domain is the set of values for which the function is defined or gives a real number as an…

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

A:

Q: What is the upper and lower limit for the function : f(x) = −12x2 − 37x − 21

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Let f(x) = x − 9 and  g(x) =square root of x+9.  Find the rule for the function. gf

A:

Q: Let f(x)= -4x+3 and g(x)=x^2 -2 Find (g-f)(x)=

A:

Q: Find the domain and range of the function: 1 1- V5 - x

A:

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: Let h(x)=f(x)g(x). If f(x)=x^2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)?

A: We have to find function

Q: Find the domain of f(x) = √(x + 3) + √(x - 1).

A: f(x)=x+3+x-1

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

A: Given: fx=x3+5x-3

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

A: