Let f(x) = (3x - 2)/5 and g(x) = √(x - 5). Determine f(g(9)). Show all work. √ extends over x - 5.
Added by Connor B.
Step 1
g(x) = \sqrt{x} - 5 g(9) = \sqrt{9} - 5 = 3 - 5 = -2 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Mohammed Nadhir and 50 other Algebra 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 (a) $f \circ g$ and (b) $g \circ f$. $$f(x)=\sqrt[3]{x+5}, g(x)=x^{3}-5$$
Polynomial and Rational Functions
Quadratic Models
Given $f(x)=\sqrt{3-x},$ find $x$ so that $f(x)=5$
Complex Zeros; Fundamental Theorem of Algebra
Find $(f \circ g)(x)$ and $(g \circ f)(x) .$ $$ f(x)=\sqrt{x}, g(x)=-5 x+2 $$
Exponential and Logarithmic Functions
The Algebra of Functions; Composite Functions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD