Tuesday

September 2, 2014

September 2, 2014

Posted by **MV** on Saturday, December 3, 2011 at 10:12am.

Find: (fog)(x)

(gof)(x)

(fog)(-1)

- Composite Functions -
**Steve**, Saturday, December 3, 2011 at 5:58pmf(g) = (7g+28)/(g-3)

= (7(3x+28)/(x-7) + 28)/(3x+28)/(x-7) - 3)

= x

g(f) = (3f+28)/(f-7)

= (3(7x+28)/(x-3) + 28) / ((7x+28)/(x-3) - 7)

= x

How odd! However, if you solve for f^{-1}(x) you get g(x) and vice-versa.

f(g(-1)) = f(-1) = -1

**Answer this Question**

**Related Questions**

calculus - when working with composite functions, does fog=gof? how do i create ...

math - find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. ...

Algebra - If f(x)= ln x, g(x) = e^3x, and h(x) = x^7, find the following... a) (...

Algebra - Help please! I got so far with this and stopped because of confusion. ...

college algebra - 1. answer the following for the given quadratic function f(x)=...

calculus - Given two functions as: f(x) = x2-x-1 and g(x) = 3/x Find fog(x) ...

Algebra - Use composition of functions to show that the functions f(x) = 5x + 7 ...

math - Solve the two sided inequality and show the solution on real line 7 < ...

Algebra help - Find (fog)(x)and (gof)(x)if f(x)=x-x^2 and g(x)= 2x+3.

Algebra 2 - If f(x) = x-3 g(x) = 2x+5 find fog and gof