SOLUTION: Question 3.7/13 If f(x)=x+1 and g(x)=x−1 (a) f(g(x))= (b) g(f(x))= (c) Thus g(x)is called an .....?..... function of f(x)

Algebra ->  Finance -> SOLUTION: Question 3.7/13 If f(x)=x+1 and g(x)=x−1 (a) f(g(x))= (b) g(f(x))= (c) Thus g(x)is called an .....?..... function of f(x)       Log On


   

Question 1187397: Question 3.7/13
If f(x)=x+1 and g(x)=x−1
(a) f(g(x))=

(b) g(f(x))=

(c) Thus g(x)is called an .....?..... function of f(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If f%28x%29=x%2B1 and g%28x%29=x-1
(a)
f%28g%28x%29%29=f%28x-1%29
f%28g%28x%29%29=%28x-1%29%2B1
f%28g%28x%29%29=x-1%2B1
f%28g%28x%29%29=x

(b)
g%28f%28x%29%29=g%28x%2B1%29
g%28f%28x%29%29=%28x%2B1%29-1
g%28f%28x%29%29=x%2B1-1
g%28f%28x%29%29=x
=> f%28g%28x%29%29=g%28f%28x%29%29

(c)
Thus g%28x%29is called an inverse+function of+f%28x%29