SOLUTION: f(x) = (1 + x)/x g(x) = 1/(1 - x) h(x) = 1/(1 + x) If so, (g o h)(x) = a. x b. 2 - x c. -x d. x/(2x + 1) e. (1 - x)/(2 - x) f. (1 + x)/x g. (2 - x)/(1 - x)

Algebra.Com
Question 50554: f(x) = (1 + x)/x
g(x) = 1/(1 - x)
h(x) = 1/(1 + x)
If so, (g o h)(x) =
a. x
b. 2 - x
c. -x
d. x/(2x + 1)
e. (1 - x)/(2 - x)
f. (1 + x)/x
g. (2 - x)/(1 - x)
h. (1 - x)/x
i. 2 + x
j. none of these

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
g(x) = 1/(1 - x)
h(x) = 1/(1 + x)


(g o h)(x) = g[ f(x) ]
g[ f(x) ] =

This looks a LOT worse than it really is!! It's a complex fraction, and I have a LOT of these worked out on my Math in Living Color pages of my website! I'm more comfortable in that format, and they are in "Living Color"!

Multiply both numerator and denominator by the LCD which is (1+x).
g[ f(x) ] =
g[ f(x) ] =
g[ f(x) ] =
g[ f(x) ] = , which is the f) answer.

R^2 at SCC

RELATED QUESTIONS

Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible... (answered by stanbon)
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)
If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify a) (f+g)(x) b) (f-g)(x) (answered by Alan3354)
Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible... (answered by rothauserc)
Given the functions f(x)=1/x+6 ; g(x)=x/2-x a.(f ∘ g)(-2) b.(g ∘ f)(-2) (answered by stanbon)
Find [f ○ (g ○ h)](2) if f(x) = 2x - 1, g(x) = 4x, and h(x) = x²+ 1 A.) 39 (answered by jim_thompson5910)
F(x) + G(x) F(x)= x/x+1 G(x)= x^2 - 1 x/x+1 + x^2 -1 (answered by Fombitz)
Determine the equation for h(x), where {{{ h(x) = k*(g-f) }}} {{{ f(x)= sqrt (x)-2 }}} (answered by MathLover1)
What is h(x)= x^2-2 g(x)= 4x+1 Find (h o... (answered by edjones)