PreCalculus
posted by Shreya .
Composition of Functions
f o g(x)=f(g(x)) > I know that this is eqivalent to f(g(x))
Given f(x) = 2x+1, and g(X) = 3x+1 find:f o g(x)=f(g(x))
This is what I did, but I don't think Ive solved it correctly
f(g(x)) = f(x3)
f(x3) = 1(x3)3x+2
=x33x+2
f(g(x)) = 2x1
The perimeter P of a square and the area A of a square r functions of its side length S. write area as function of Perimeter. ?
Also write out the square's area as function of length of its diagonal.

f(g) = 2g+1 = 2(3x+1)+1 = 6x+3
dunno where you got x3
P = 4s
A = s^2 = (P/4)^2 = P^2/16
d = s√2
A = s^2 = (d/√2)^2 = d^2/2
Respond to this Question
Similar Questions

PreCalculus/Calculus
I am too embarassed to ask this Calculus (really precalculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x1 actually f(x)=1/3x+1? 
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)=2x1 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 30x+18 
Function compostions
Sorry I had to repost, I left somethings out. Can you please check my answers? 
pre calculus
Having a bit of a problem with this for the given functions f, g and h. find f*g*h and state the exact domain of f*g*h Please show all your work f(x) = inx g(x) = x 169 h(x) = 9x^2 
PreCalculus
Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I don't get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also don't get … 
pre calculus
consider the functions f(x)=x^33 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all. 
Calculus
Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x  6 f(x) = x^2  x and g(x) = 3x + 1 f(x) = 3x^3  4 and g(x) = x^2 + 3 State the domain and range for the sum and difference … 
PreCalculus/Trigonometry
Express the following function, F(x) as a composition of two functions and f and g. f(x)= x^2/(x^2+4) 
Pre Calculas
Im having a little trouble help please? 1.Given the table below, evaluate the following: x 3 2 1 0 1 2 3 4 5 f(x) 10 20 30 40 50 60 70 80 90 g(x) 1 2 3 4 5 6 7 8 9 a. (3f+2g(1) b. (fog)(1) 2. Express the following function, 
Pre=Calc
Use composition to show that the given functions are inverses (You must show both compositions). Help?