Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function. f(x)=2x.g(x)3D/16-x er: the domain of (fog)(x) is : -4

Q: Find the domain of the function.

A: Given: kx=x+3x-1 Domain of a function is the set of all values of x for which function is defined…

Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

A:

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

A:

Q: The absolute Extrema of the function f(x) = /-x²+ 8x - 15 on its domain are

A: Given,f(x)=-x2+8x-15

Q: Find the asymptotes of the functionf(x)=2x−3 / x+1.

A:

Q: Find the domain of the function.

A: Given:              g(x)=7−3x

Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

A:

Q: 1. The function f(x) "2x2 + 10x models the height above the ground, in %3D cm, of a jumping frog…

A:

Q: Given f (x) =-7x - 8 and g (x) =x², %3D (a) Find (f °g)(x). (b) Find (g of)(x). (c) Is (f °g)(x)= (g…

A: Given- fx=-7x-8 and gx=x2 To find- a-fogxb-gofxc-is fogx=gofx ?

Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: The function f(x) = 2x ^ 3 - 3x ^ 2 - 36x + 2 has its maxima a

A: Introduction :

Q: ch that the function X-4 x 5. f (x) =

A:

Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

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: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

A:

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

Q: Find the domain of the function.

A: The given equation is qx=2+x3-x.

Q: The function f ( x 22+2x–15 x²+9x+20 has a vertical asymptote at x =-5.

A: Vertical asymptote of a function is the line x=a such that the function is undefined at x=a. A line…

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Find the asymptotes of the functions: 4x2 1- f(x) = x² +8 x2-6x+7 2- f(x) x+5

A:

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find the domain of the function g(x) = 1/∣x2 − 4∣

A: Consider the function: gx=1x2-4

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

A:

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: 5. For f(x) = Vx, sketch the graph of h(x) = 3f[-2x + 8] – 1 and state the domain and range of the…

A: f(x)=xh(x)=3 f-2x+8-1h(x)=3 -2x+8 -1h(x)=3 -2(x-4) -1Transformations:reflection about…

Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

A:

Q: Find the domain of the function. 5 f(x) = x² - 19x The domain is

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

Q: 2 – 6x + 5 Find the domain of the function f(x) = x2 + 4x – 5

A: Domain: It is the set of values of x or independent variable for which the function is defined or…

Q: Find the local maximum and minimum values of the function f(x)=-3x2+4x+5.

A: If second derivative negative then local maximum value

Q: Find the asymptotes of the functionf(x)=x2−2x−3 / x.

A:

Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: 2 For the functions f(x) = - 4x + 1 and g(x) = 2x-x+ 5, find f(g(3)). f(g(3)) =| %3D

A: given function are  f(x)= -4x+1  g(x)= 2x2-x+15  Find f(g(3)) .

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A: The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years…

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: 4. For f(x) = x2, sketch the graph of g(x) = -2f (x + 1) + 3 and state the domain and range of the…

A:

Q: A blogger earns R(x) = 10x + 0.063x² in revenue, where z is the number of subscribers, and has a…

A: This question is based on Revenue and Profit.

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

A:

Q: Find the asymptotes of the functionf(x)=x(x−1)2.

A:

Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: Find the asymptotes of the function f(x)=x2−2x−3/x

A:

Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

A:

Q: Find the asymptotes of the function f(x)=x3 / x2+1.

A: Since the degree of numerator (3) is greater than the degree of denominator (2), therefore there is…

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

A: