Question

Consider the following. \[ f(x)=\frac{1}{\sqrt{x}}, g(x)=x+3 \] (a) Find the function \( (f \circ g)(x) \). \[ (f \circ g)(x)= \] Find the domain of \( (f \circ g)(x) \). (Enter your answer using interval notation.)

          Consider the following.
\[
f(x)=\frac{1}{\sqrt{x}}, g(x)=x+3
\]
(a) Find the function \( (f \circ g)(x) \).
\[
(f \circ g)(x)=
\]

Find the domain of \( (f \circ g)(x) \). (Enter your answer using interval notation.)

Consider the following.

f(x)=(1)/(√(x)), g(x)=x+3

(a) Find the function (f ∘ g)(x).

(f ∘ g)(x)=

Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.)

Added by Scott S.

Precalculus

Jay Abramson 1st Edition

Chapter 1

Instant Answer

Solved by Expert Amrita Bhasin

07/22/2019

Step 1

This means that we need to substitute the function \(g(x)\) into the function \(f(x)\). So, \((f \circ g)(x) = f(g(x))\). Substituting \(g(x) = x + 3\) into \(f(x) = \frac{1}{\sqrt{x}}\), we get: \((f \circ g)(x) = f(x + 3) = \frac{1}{\sqrt{x + 3}}\). Show more…

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