Suppose that function • f(x) has domain XE [-1,4) U (4, 00) g(x) has domain x E (-5,2) U (2,9]. 1. The domains of (f +g)(x). (g-f)(x), and (gf)(x) are all the same. Determine this domain, writing your answer using interval notation. Hint: Find the intersection of the two domains above (bulleted). It might be helpful to draw number lines. 2. From the function g(x), suppose g(7) = 0. Determine the domain of (O*). Write your answer using interval notation.

Q: Consider the functions f(x) = x + 6 and g(x) = V-x + 6 . Determine each of the following. f o g(x)…

A: Given that f(x)=x+6 g(x)=√(-x+6)

Q: Analyze the graphs of b(x), c(x), d(x), and f(x). Write each function in terms of the indicated…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

A:

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: Consider the functions f(x) = - 4x + 1 and g(x) = v-z- 2. Determine each of the %3D following. fo…

A:

Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

A:

Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

A: we have to find the composition function

Q: Let f(x)=x+2 and g(x) = 2x². Perform each fun then find the domain of the result. 8. (f+g)(x) 9.

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.