Question

Let F : R → R, F(x) = 3x + 5. We can write F easily...

Let F : R → R, F(x) = 3x + 5. We can write F easily as the composite of two functions. Namely, if we define f and g (both with domain and codomainR)by the rules f(x)=x+5 and g(x)=3x, then F = f ◦ g. Find four other ways to write F as the composite of two functions (with domain and co- domain R).

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
Find the domain of f(g(x)). f(x)= 5/x-1 g(x)=4/3x-2 If anyone can solve this and explain the...
Find the domain of f(g(x)). f(x)= 5/x-1 g(x)=4/3x-2 If anyone can solve this and explain the steps I would greatly appreciate it. I found an answer but I want to check if I did it correctly.
Let f : R → R be defined by f(x) = x^3 + 3x, for all...
Let f : R → R be defined by f(x) = x^3 + 3x, for all x. (i) Prove that if y > 0, then there is a solution x to the equation f(x) = y, for some x > 0. Conclude that f(R) = R. (ii) Prove that the function f : R → R is strictly monotone. (iii) By (i)–(ii), denote the inverse function (f ^−1)' : R → R. Explain why the derivative of the inverse function,...
Let (X, d) be a metric space, and let U denote the set of all uniformly...
Let (X, d) be a metric space, and let U denote the set of all uniformly continuous functions from X into R. (a) If f,g ∈ U and we define (f + g) : X → R by (f + g)(x) = f(x) + g(x) for all x in X, show that f+g∈U. In words,U is a vector space over R. (b)If f,g∈U and we define (fg) : X → R by (fg)(x) = f(x)g(x) for all x in X,...
13.1.7. Problem. Let f(x) = sinx and g(x) = cosx for 0 ≤ x ≤ π....
13.1.7. Problem. Let f(x) = sinx and g(x) = cosx for 0 ≤ x ≤ π. Find du(f,g) in the set of functions B([0, π]). 13.1.8. Problem. Let f(x) = 3x−3x3 and g(x) = 3x−3x2 for 0 ≤ x ≤ 2. Find du(f,g) in the set of functions B([0, 2]).
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write...
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write in interval notation): Df:=_____________? b) Find the x- and y- intercepts. if any. (write your answers as ordered pairs). c) Find the asymptotes of f, if any. If there are not, write why. (write answers as equations). d) Find all of the critical numbers of f. on what intervals is f increasing/decreasing? show all work
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1....
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1. Explain the difference. Do the same for f (2x) and 2f (x). ii) Sketch y = f (x) on the interval [−2, 2]. iii) Solve the equations f (x) = 1.2 and f (x) = 2. In each case, if a solution does not exist, explain. iv) What is the domain of f (x)? b.)Let f (x) = √x −1 and g (x) =...
a) Let f : [a, b] −→ R and g : [a, b] −→ R be...
a) Let f : [a, b] −→ R and g : [a, b] −→ R be differentiable. Then f and g differ by a constant if and only if f ' (x) = g ' (x) for all x ∈ [a, b]. b) For c > 0, prove that the following equation does not have two solutions. x3− 3x + c = 0, 0 < x < 1 c) Let f : [a, b] → R be a differentiable function...
Let f and g be continuous functions on the reals and let S={x in R |...
Let f and g be continuous functions on the reals and let S={x in R | f(x)>=g(x)} . Show that S is a closed set.
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...
Let f:[0,1]——>R be define by f(x)= x if x belong to rational number and 0 if...
Let f:[0,1]——>R be define by f(x)= x if x belong to rational number and 0 if x belong to irrational number and let g(x)=x (a) prove that for all partitions P of [0,1],we have U(f,P)=U(g,P).what does mean about U(f) and U(g)? (b)prove that U(g) greater than or equal 0.25 (c) prove that L(f)=0 (d) what does this tell us about the integrability of f ?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT