# Algebra..

f(x)= x^2+3 ; g(x)=3x-1

1. (f+g)
=x^2+3x+2

2. (f+g)(3)
= 20

3. (f-g)(x)
= x^2+3x-4

4.(fg)(x)
= 3x^3+1x^2-9x+3

5. (fg)(x)
=5

6. (f/g)(x)
=(x^2+3)/(3x-1)

Compostitions of functions :

7. (f o g)(x)
=3x^2+4

8. (f o g)(x)
=10

1. 1. ok
2. ok
3. (f-g)(x) = x^2 - 3x + 4
4. (fg)(x) = 3x^3 - x^2 + 9x - 3
5. (fg)(x) is not a number. Also, I find no value for x where (fg)(x) = 5
6. ok
7. (fog)(x) = f(g(x))
= g^2 + 3
= (3x-1)^2 + 3
= 9x^2 - 6x + 4
8. same as 5.

posted by Steve

First Name

## Similar Questions

1. ### Biology

What are the functions and compostitions of lipids, carbs, and proteins? http://en.wikipedia.org/wiki/Nutrition
2. ### Algebra-Functions

Could you please check my answers and help me with two problems? Determine which two functions are invereses of each other. 1. f(x)=5x, g(x)x/5, h(x)5/x -I got that f(x) and g(x) are invereses of each other 2. f(x)=x-2/(2),
3. ### Math

Has anyone taken the colorado connections academy Unit 13: Functions Test Unit 5: Functions, within the past day? I need someone to check my answers
4. ### Calculus (pleas help I really need to check this)

Assume that each of the follwing functions gives the position of an object at time t. Find the velocities indicated by setting up and evaluating a limt algebraically. (a) s(t) = 3t^2, Find v(-1). (b) s(t) = 1/t , Find v(2). (c)
5. ### Function compostions

Sorry I had to repost, I left somethings out. Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 Find (f *g)(x) I got 14x+2 For the given functions f and g,
6. ### Functon compostions

Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 I got 14x+2 For the given functions f and g, find the indicated composition. 8. f(x)=-5x+3, g(x)=6x+3 I got
7. ### Check my CALCULUS answers please!

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t