Find​ f(g(x)) and​ g(f(x)). State the domain of each. ​f(x)=7x +9; g(x)=X-8 What is the formula for​ f(g(x))?
Added by Joanna D.
Step 1
Substitute g(x) into f(x): f(g(x)) = 7(x - 8) + 9 Simplify: f(g(x)) = 7x - 56 + 9 f(g(x)) = 7x - 47 The domain of f(g(x)) is all real numbers. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Israel Hernandez and 61 other Calculus 1 / AB 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
Find $f+g, f-g,$ fg, and $\frac{f}{8} .$ Determine the domain for each function. $$f(x)=\frac{9 x}{x-4}, g(x)=\frac{7}{x+8}$$
Functions and Graph
Combinations of Functions; Composite Functions
Find $(f \circ g)(x)$ and $(g \circ f)(x)$ and the domain of each. $$f(x)=3 x-7, g(x)=\frac{x+7}{3}$$
More on Functions
The Composition of Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD