Given f(x)=3x-5 and g(x) = x³ +3x . Perform the requested operation and give the result in simplified form. Give the domain in interval notation. a. (f – g)(x) and its domain b. : (x) and its domain c. (fog)(x)and its domain

Q: Determine the domain of f(x). Give your answer using interval notation. f(x) =      −4…

A: Consider the provided function,

Q: Given f(x)=2−12x−−−−−−√ and g(x)=−9x, find the following: a. (g∘f)(x) b. the domain of (g∘f)(x) in…

A: We have to find out composition function and domain of that

Q: Determine the domain of f(x). Give your answer using interval notation. -4 If isxS8 x) ={- 12x + 27…

A: given, We will check ->  Does  -4/(x2 - 12x + 27) exist for all  x ∈ [1,8]  -4/(x2 - 12x + 27) =…

Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

A: The given function, fx=x2-7x-5

Q: Let f(x) = x2 + 6x and g(x) = 9x2 − 3. Find the function. f + g (f + g)(x) =    Find the domain.…

A: Consider the functions

Q: Given functions f(x)=/7-x and g(x)= 3x-2. (a) Find the function |(x) and its domain (in interval…

A: Solution part (a) Given,  fx = 7-x    and  gx = 3x-2   We have to find fgx  and its domain.

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given, the function g(x) = 3x3 – 9x, we have to check whether the function is concave upward or…

Q: find the domain of the function f(x)=-3x2+2x-3 write in interval notation

A: Solution of the problem as follows

Q: Given g(x) = Vx – 3, find (g • g)(x) and write the domain in interval notation.

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Concavity.

Q: Find the domain of the following function: 2x (x) = x2 – 9 Write your answer in interval notation.

A:

Q: For the function f(x)=x3−3x2−9x+4, determine the intervals where f is increasing and decreasing.…

A:

Q: Given that f(x) = x² – 2x – 80 and - g(x) : = x – 10, find f (x) – g(x) and express the result in…

A:

Q: Givenf(x) = x2 - 4, x ≥ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A: Given that f(x)=x2-4

Q: Find the domain of the function. v (x) = /-4x+28 Write your answer using interval notation.

A:

Q: Given the function R(x)=x+3x−4, find the values of x that make the function less than or equal to…

A: R(x)=x+3x−4, we have to find the values of x that make the function less than or equal to zero.

Q: What is the domain of B in interval notation?

A: To find the domain in the interval notation of the following function,

Q: g(x)=15/x^2−3x−40 Use interval notation to describe the domain

A:

Q: Solve f(x) is greater than or equal to x2+6x-7 over x2 -10x + 25    Write answer in interval…

A:

Q: For the function f(x)=x³-3x²-9x+4, determine the intervals where f is increasing and decreasing.…

A: Given :     f(x) = x3-3x2-9x+4

Q: Find the domain of the function R(x)= (√2x−3)/(4x^2-11x+6) . Write the answer using interval…

A: We have to find the domain of given function.

Q: Write the domain in interval notation. x-3 (a) f(x) x-4 x- 3 (b) g (x) : x¯-4 x- 3 (c) h (x) = 2…

A: Domain is defined as the set of values of x for which the function is defined.

Q: 5. h(f(x)) and state the domain using 4. |(x) and state the domain using any notation. any notation.

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: Given f(x)=1x+3 and g(x)=9x+2, find the domain of f(g(x)) Domain:

A:

Q: Find the domain of the function. u (x) = /-x+2 Write your answer using interval notation.

A:

Q: X-1 6. f(x)= 1 +2

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given function is

Q: F(x) = x-x-4 and g( (x+7) and g your answers without paren

A:

Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Find the natural domain and graph the functions ƒ(x) = 1 - 2x - x2

A: This is a polynomial function. so the domain of it is all real numbers.

Q: Find (f + 9)(x) if f(x) = -322 + 2x – 3 and g(a) = 22? – 3x + 4.

A: (f+g)(x)=f(x)+g(x)

Q: Determine the domain of f(r) and write it in interval notation. V2 – S(a) = r + 3

A:

Q: Write the domain of the functions in interval notation. x² – 9 a) .8(x) = х — 3 2х — 3 X b).r | r…

A:

Q: Give the domain for  g(x)=x+2/x^2−3x−40 in interval notation.

A:

Q: If f'(x)=8x^3-9e^x and f(0)=-13, find f(x).

A: We have to solve

Q: For the function f(x)=x2 graph f(x)=(2x+5)-9, and state domain and range of f(x)=(2x+5)-9, and find…

A: Given function f(x) = (2x+5)-9 f(x) = x2

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: f(x) = 4 – 3x and write your answer in interval notation. Domain:

A:

Q: For f(x) = x - 2 and g (x) = 2x2 - 3x - 2, state the domain of  h(x) = f(x)/g(x). Write your answer…

A: h(x)=f(x)/g(x)Denominator can not be zero. So we try to factor the denominator.

Q: When the function f(x) is divided by 4.x +9, the quotient is a and the remainder is-10. Find the…

A:

Q: h(x)=√8−5x Use interval notation to describe the domain

A: Given:

Q: t) Find the domain of the function 6. f(x): x² – 7x write your answer in interval notation. Domain:

A:

Q: Find f-1 (x) for f (x) = 15 + 12x. Enter the exact answer.

A:

Q: Given f(x)=√x + 2 and g(x)= x³, find ()(x) and write the domain of (x) in in interval notation.

A:

Q: Given the function R(x)=x−6 over x+6, find the values of x that make the function less than or equal…

A:

Q: If discontinuous, is the discontinuity removable? (x²-2x-15 (a) f(x) = if x # 5 ズー5 8, if x = 5

A: