Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1, 9(x) = r³ +2x² +1

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: Consider f(x) = 3V(x - 5). Write its domain.

A:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

A:

Q: x-3 d) f (x) = Vx-4

A:

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

A:

Q: Let f(x) = x - x. What is the simplest form of , h70? h

A: Please refer to the image below

Q: (a) f(x) =; 2x+1 x²+x-2 (b) g(x) x²+1 (c) h(x) = v4 – x + vx² – 1 %3D

A: The given functions are a.) fx=2x+1x2+x-2 b.) gx=x3x2+1c.) hx=4-x+x2-1 Domain of a function is the…

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: Show that the function g(x) = x³ – 7x² + 25x + 8 has exactly one real root- |

A: Given: gx=x3-7x2+25x+8 To show function gx has exactly one real root.

Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: On which of the following intervals is f(x) = continuous? Vx-2

A:

Q: If a and b are both positive numbers, which statement is true about the x-intercepts of the function…

A:

Q: Please determine the domain of the function

A:

Q: 3. Find the domain of these functions. (a) y = √3x + 4 x+5 (b) y = 5x-2

A: a) y= √(3x-4)b) y= (x+5)/(5x-2)We have to find domain of above functionsDomain: set of  all value of…

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: Find g × f when f(x)=1/3x-3 and g(x)=3x+1

A: Given: The functions  and ,  defined as, Aim: To determine the product of two functions, i.e.,…