The diagram above shows a sketch of y = f(x) where f(r) = va+9 %3D (i) Copy the diagram. On the same set of axes, sketch the grap function y = f-' (r), clearly marking the a and y-intercepts. (ii) What is the domain of f- (r)? (iii) Find an expression for f-(r).
The diagram above shows a sketch of y = f(x) where f(r) = va+9 %3D (i) Copy the diagram. On the same set of axes, sketch the grap function y = f-' (r), clearly marking the a and y-intercepts. (ii) What is the domain of f- (r)? (iii) Find an expression for f-(r).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:y = f {x}
3
The diagram above shows a sketch of y = f(x) where f(r) = vr + 9.
(i) Copy the diagram. On the same set of axes, sketch the graph of the inverse
function y = f-1(r), clearly marking the r and y-intercepts.
(ii) What is the domain of f- (r)?
(iii) Find an expression for f-' (1).
(iv) Given that the graphs of y = f(x) and y = f-' (x) mëeť at the point P, find tlie
%3D
r-coordinate of P.
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