Question

Identify two functions $f$ and $g$ such that $h(x) = f(g(x))$ when $h(x) = \frac{\sqrt{x+1}}{\sqrt{x+1}-3}$ 1. $f(x) = \frac{x}{x-3}$ and $g(x) = \sqrt{x+1}$ 2. $f(x) = \sqrt{x+1}$ and $g(x) = \frac{1}{\sqrt{x+1}-3}$ 3. $f(x) = \frac{1}{\sqrt{x+1}-3}$ and $g(x) = \sqrt{x+1}$ 4. $f(x) = \sqrt{x+1}$ and $g(x) = \frac{x}{x-3}$

          Identify two functions $f$ and $g$ such that
$h(x) = f(g(x))$ when
$h(x) = \frac{\sqrt{x+1}}{\sqrt{x+1}-3}$
1. $f(x) = \frac{x}{x-3}$ and $g(x) = \sqrt{x+1}$
2. $f(x) = \sqrt{x+1}$ and $g(x) = \frac{1}{\sqrt{x+1}-3}$
3. $f(x) = \frac{1}{\sqrt{x+1}-3}$ and $g(x) = \sqrt{x+1}$
4. $f(x) = \sqrt{x+1}$ and $g(x) = \frac{x}{x-3}$

Identify two functions f and g such that
h(x) = f(g(x)) when
h(x) = (√(x+1))/(√(x+1)-3)
1. f(x) = (x)/(x-3) and g(x) = √(x+1)
2. f(x) = √(x+1) and g(x) = (1)/(√(x+1)-3)
3. f(x) = (1)/(√(x+1)-3) and g(x) = √(x+1)
4. f(x) = √(x+1) and g(x) = (x)/(x-3)

Added by Nancy M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/16/2020

Step 1

Step 1: We need to find the functions f(x) and g(x) such that h(x) = f(g(x)). Show more…

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Identify two functions f and g such that h(x) = f(g(x)) when √x+1 h(x) = √x+1-3 1. f(x) = x / (x - 3) and g(x) = √x + 1 2. f(x) = √x+1 and g(x) = 1 / (√x+1 - 3) 3. f(x) = 1 / (√x+1 - 3) and g(x) = √x+1 4. f(x) = √x+1 and g(x) = x / (x - 3)