SOLUTION: Let f(x) = x/(x - 1), g(x) = (x - 1)/x, h(x) = 1/(x - 1) .
Then (gh)(x) =
a. 1
b. x
c. 1/x
d. -x
e. none of these
Algebra.Com
Question 50820: Let f(x) = x/(x - 1), g(x) = (x - 1)/x, h(x) = 1/(x - 1) .
Then (gh)(x) =
a. 1
b. x
c. 1/x
d. -x
e. none of these
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f(x) = x/(x - 1), g(x) = (x - 1)/x, h(x) = 1/(x - 1) .
Then (gh)(x) =g(1/(x-1)
=[(1/x-1)-1)/(1/x -1)]
=[(1-(x-1)/(x-1)]/[1/(x-1)]
=[(2-x)/(x-1)]
=2-x
Answer; None of these
Cheers,
Stan H.
RELATED QUESTIONS
Let f(x) = x/(x - 1), g(x) = (x - 1)/x, h(x) = 1/(x - 1) .
Then (gh)(x) =
a. 1
b. (answered by venugopalramana)
f(x) = (1 + x)/x
g(x) = 1/(1 - x)
h(x) = 1/(1 + x)
If so, (g o h)(x) =
a. x
(answered by rapaljer)
Suppose x + (1 / x) = 1
Compute the value of (x^1613) + (x^-1613)
A) 1 / x
B) -1 /... (answered by MathLover1,pavan sai reddy)
Let h(x)= (g o f)(x)= x^2 / x^2 + 1
Which of the following could be a possible... (answered by stanbon)
If f(x)=x/1+x, what is the value of f(x+h)?
a. x+h/1-x-h\
b. x+h/1+x+h
c. x-h/1+x-h
(answered by MathLover1)
Let h(x)= (g o f)(x)= x^2 / x^2 + 1
Which of the following could be a possible... (answered by rothauserc)
) If f(x) = 5x^7 - 3, then f^-1(x) =
a. [(x + 7)/5]^1/3
b. [(x + 3)/5]^1/7
c. (answered by Nate)
If f(x) = 5x^7 - 3, then f^-1(x) =
a. [(x + 7)/5]^1/3
b. [(x + 3)/5]^1/7
c.... (answered by stanbon)
If f(x) = 7x^5 - 3, then f ^-1(x) =
a. [(x + 7)/5]1/3
b. [(x + 3)/5]1/7
c. [(x +... (answered by rapaljer)