10. Given that p(x) and f(x) are polynomial functions such that p(x) xf(x) + c, determine c if the graph of p(x) is shown (9.r) (0, t) (p, 0)/ (s, 0)

Q: Use the graph of y = f(x) to graph the given function g: g(x) = f(x - 1) + 2

A: Given The draw graph g(x)= f(x-1)  +2  by using graph  f(x) Coordinate of graph f(x) is (-4,0)…

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x + 1) + 2

A:

Q: The domain D, of the function f (x) = Vx² – 1 is: -

A: The domain of a function is set of values for which the function is defined. The square root is…

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

A:

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

A:

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = (9x + 9)² Choose the correct pair of functions.…

A: The given function is:h(x)=9x+92

Q: Of (x) = (4x-6x* + 4 3 3 Of (x) = x* – 2x³ + 5 Of (x) = x* – x³ +4 6 ,3 %3D f (r) – 2r4 6r3 1 8

A:

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: 2. Identify the zeros of f(x) = -x²-3x+4= -(x+4)(x-

A: The function zero so f(x)=0

Q: Given the function P(x) = x(x + 5)(x - 6).

A:

Q: 5. Lif f(x) = x3 + ax? + bx + c, determine the values of a, b, and c if f(x) switches from concave…

A: Given: f(x)=x3+ax2+bx+c Differentiate the function. f'(x)=ddxx3+ax2+bx+c=3x2+2ax+b Differentiate…

Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: Use the graph of y = f(x) to graph the given function g: g(x) = 2f(x + 2) - 1

A: The graph of y = f(x) is  g(x) = 2f(x + 2) - 1

Q: Find and sketch the domain for the function

A:

Q: Q1. (a) Find the domain of the functions f(r) = V(1 – r)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: Given, The functions

Q: 2 Let f(x)=Vx and g(x)=- x-4

A: Given that  f(x)=√x and g(x)=2/(x-4) To find the f of g

Q: points that correspond to the functions s(t), v(t), and a(t) to any point on the curves that match…

A: We will use relation between a function its 1st derivative and 2nd derivative to identify which…

Q: 1. Find the natural domain f(x) = 3 √2x+1

A:

Q: Find the domain of the functions fS(x) = /(2 – x)(I – 7) and g(x) = In(r² – 4)(3–2). Also determine…

A: Domain of function: The domain of function is set of all values for which function is define. Range…

Q: 1.) Find the domain of g(x) = V7² +3 + 3x

A: Given data: The given function is g(x)=(x2+3x)1/4. The domain is the value of x or a complete set of…

Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)

A:

Q: Q1. (a) Find the domain of the functions f(x) = V(1– x)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

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

Q: 4. Consider the function f(x)=√x-1. Find f-¹(x) and sketch the graphs of y = f(x) and y = f(x) on…

A: Given that the function fx=x-1. Find the inverse function f-1x. Sketch the graph of y=fx and y=f-1x…

Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 21-3z² + z – 1. %3D

A: Explanation: Given that: fx=2x4-3x2+x-1 Concept: dxndx=nxn-1 Step 1. Take the first derivative  Step…

Q: Find the domain of g(x) = –/2x– 4 and then sketch its graph using transformations.

A: The given function is defined when the expression in the radical is greater than zero. That is, the…