describe the values of x that must be excluded from the domain of (f g)(x) based on the example below: f(x)=2x, g(x)=3x f(g(x))=f(3x) =2(3x)=6x F(g(x)=6x How do you determine the domain of the composition of these two functions (from the example given)?

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: Given the following function:  f(x)=(x−1)3(x+2)f(x)=(x−1)3(x+2).  What happens at the zero of x=1x=1

A: We have given function fx=x-13x+2.

Q: Find f(g(x)) if f(x) = (3x+1)/x and g(x) = -2x + 1.

A: Given functions  f( x ) = ( 3x + 1 )xg( x ) = ( -2x + 1 )

Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

Q: Let f(x) = x + 9x and g(x) = 5-x. () Find (x) and (2).

A:

Q: For function f(x)=x2 , vertex is the lowest point of this function, which its coordinate is (0, 0).…

A:

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A:

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: Given f(x) = 2 and g(x) = 12 Find the composite functions f(g(x)) and g(f(x)). You do not need to…

A: Solution will be given below.

Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

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

Q: Find the domain and Range of the following functions: x²+1 (1) f(x) = (2) f(x) = V3 – x+2 %3D V3-x2

A:

Q: function f(x) = 4x +4>

A:

Q: find f-1 (x) for the one-to-one function f(x) =4x+1/5

A:

Q: Consider the functions: f(x) = X-4 x+5 * and g(x) = . Find the expression for the composition of…

A:

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.