For the given functions, find $(f circ g)(x)$ and $(g circ f)(x)$ and the domain of each. $f(x) = 7x + 2$, $g(x) = sqrt{x}$ $(f circ g)(x) = $
Added by Charles A.
Close
Step 1
We have two functions, \(f(x) = 7x + 2\) and \(g(x) = \sqrt{x}\). Our goal is to find \((f \circ g)(x)\) and \((g \circ f)(x)\), and then determine the domain of each. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 51 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each. $$f(x)=x^{3}-2 x^{2}+7 x, g(x)=x$$
Functions and Graphs
The Algebra of Functions
Determine $(f \circ g)(x)$ and $(g \circ f)(x)$ for each pair of functions. Also specify the domain of $(f \circ g)(x)$ and $(g \circ f)(x) .$ $$ f(x)=-2 x+1 \text { and } g(x)=7 x+4 $$
Functions
Composition of Functions
Given functions $f$ and $g,$ find ( $a$ ) $(f \circ g)(x)$ and its domain, and ( $b$ ) $(g \circ f)(x)$ and its domain. See Examples 6 and 7 . $$f(x)=x+2, \quad g(x)=x^{4}+x^{2}-4$$
Graphs and Functions
Function Operations and Composition
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD