Question

For the given functions, find $(f\circ g)(x)$ and $(g\circ f)(x)$ and the domain of each. $f(x) = 9x + 1$, $g(x) = \sqrt{x}$ $(f\circ g)(x) = 9\sqrt{x} + 1$ $(g\circ f)(x) = \sqrt{9x + 1}$ The domain of $f\circ g$ is $[0,\infty)$.

          For the given functions, find $(f\circ g)(x)$ and $(g\circ f)(x)$ and the domain of each.
$f(x) = 9x + 1$, $g(x) = \sqrt{x}$
$(f\circ g)(x) = 9\sqrt{x} + 1$
$(g\circ f)(x) = \sqrt{9x + 1}$
The domain of $f\circ g$ is $[0,\infty)$.

For the given functions, find (f∘ g)(x) and (g∘ f)(x) and the domain of each.
f(x) = 9x + 1, g(x) = √(x)
(f∘ g)(x) = 9√(x) + 1
(g∘ f)(x) = √(9x + 1)
The domain of f∘ g is [0,∞).

Added by Shelly B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert James Kiss

06/26/2020

Step 1

Step 1: To find (f@g)(x), we need to first find g(f(x)). Show more…

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For the given functions, find (f@g)(x) and (g@f)(x) and the domain of each. f(x)=9x+1,g(x)=sqrt(x) (f@g)(x)=9sqrt(x)+1 (g@f)(x)= The domain of f@g is [,infty ). For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x)=9x+1,g(x)=x (fog(x=9+1 (gof)(x=9x+1 The domain of f o g is [ [.0)