The graph of the function g on the closed interval [0, 9] consists of four line segments, as shown above. Let f be the function defined by f(x) = f g (t) dt. What is the value of f f (8) ?

Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

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

A:

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

A:

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Use the variable u for the inside function to express each of the following as a composite function.…

A: The given functions, a) y=5t2-34 b) P=11e-0.4 t c) C=6 lnq6+4. We have to write each of the function…

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(2) (b) (g ∘ f)(2).

A: (a) f∘g2=fg2=f2=0 Hence the answer.

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: The function f(x) = x/(x - 2) is one-to-one. Find f -1

A: Given the function fx=xx-2 is one-to-one. To find: f-1 Solution: Given function can be written as:…

Q: True or False? For a function g(x). g"(3) = -8 indicates that g(x) is at x=3.

A: Given that for a function g(x), g"(3)=-8 indicates that g(x) is................ at x=3

Q: a. The function f(x) is represented by f(x) = 2x. The linear function g(x) passes through the points…

A:

Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

A:

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(1) (b) (g ∘ f )(3).

A: To evaluate the function (a) ( f ∘ g)(1). (b) (g ∘ f )(3).

Q: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…