Question

Find each of the following functions. f(x) = 4 − 4x, g(x) = cos(x) (a) f...

Find each of the following functions. f(x) = 4 − 4x, g(x) = cos(x)

(a) f ∘ g and State the domain of the function. (Enter your answer using interval notation.)

(b) g ∘ f and State the domain of the function. (Enter your answer using interval notation.)

(c) f ∘ f and State the domain of the function. (Enter your answer using interval notation.)

(d) g ∘ g and State the domain of the function. (Enter your answer using interval notation.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘...
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x).  (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x).  (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.) Q...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x)...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x) = −|x + 8|   domain= range= 1b.   Consider the following function. Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. (Enter your domains using interval notation.) f(x) = x − 3 g(x) = x2 (f ∘ g)(x)= domain = (g ∘ f)(x) = domain are the two functions equal? y n 1c. Convert the radian...
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f....
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f. (b) Graph f and f −1 on the same set of coordinate axes. (c) Describe the relationship between the graphs. The graphs of f and f −1 are reflections of each other across the line y = (d) State the domain and range of f and f −1. (Enter your answers using interval notation.) 2. Consider the function. f(x) = x+3/x (a) Find the...
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 4. (A) Find...
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 4. (A) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) (B) Apply the First Derivative Test to identify all relative extrema.
Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...
Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b) Find the inverse of the function ff. (c) Find the function g/kg/k and its domain using the interval notation. (d) Simplify the expression [k(x+h)−k(x)]/h[k(x+h)−k(x)]/h.  
f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find a formula for h(x) and the...
f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering the domains. a) h(x)=(f∘g)(x). h(x) = Domain = b) h(x)=(g∘f)(x). h(x) = Domain = c) h(x)=(f∘f)(x). h(x) = Domain = d) h(x)=(g∘g)(x). h(x) = Domain =
Find the derivative of the function using the definition of derivative. G(t) = 1- 3t /...
Find the derivative of the function using the definition of derivative. G(t) = 1- 3t / 5+t G'(t) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x)...
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x) = 103x (3x5+ x − 1)4 (b) g(x) = ln(x3 + x) / x2 − 4 (c) h(x) = tan-1(xex) (d) k(x) = sin(x)cos(x)
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1/2x^(4) −...
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1/2x^(4) − 4x^(2) + 3 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) =...
Find the derivative of the function using the definition of derivative. g(x) = sqrt 9 −...
Find the derivative of the function using the definition of derivative. g(x) = sqrt 9 − x g' (x) = State the domain of the function. (using interval notation.) State the domain of its derivative. (using interval notation.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT