1. A function ( f ) and its derivative ( f^{prime} ) takes the following values. egin{tabular}{|r|r|r|} hline multicolumn{1}{|c|}{( x )} & ( f(x) ) & ( f^{prime}(x) ) \ hline 2 & 4 & 6 \ hline 3 & 5 & 7 \ hline end{tabular} If ( g ) is the inverse of ( f ), find ( g^{prime}(4) ) : A. 6 B. ( 1 / 6 ) C. 7 D. ( 1 / 7 ) E. ( 1 / 4 ) F. None of the above
Added by B V.
Close
Step 1
Step 1: Recall that if g is the inverse of f, then g(f(x)) = x and f(g(x)) = x. Show more…
Show all steps
Your feedback will help us improve your experience
H M and 73 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
Assume that the function has an inverse. Without solving for the inverse, find the indicated function values. $$f(x)=x^{3}+4 x-1, \quad \text { (a) } \quad f^{-1}(-1), \quad \text { (b) } \quad f^{-1}(4)$$
Preliminaries
Inverse Functions
Assume that the function has an inverse. Without solving for the inverse, find the indicated function values. $f(x)=x^{5}+4 x-2$ (a) $f^{-1}(38)$ (b) $f^{-1}(3)$
Algebraically determine the equation of the inverse of each function. a) $f(x)=7 x$ b) $f(x)=-3 x+4$ c) $f(x)=\frac{x+4}{3}$ d) $f(x)=\frac{x}{3}-5$ e) $f(x)=5-2 x$ f) $f(x)=\frac{1}{2}(x+6)$
Function Transformations
Inverse of a Relation
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