Suppose and are functions such that .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Suppose ff and gg are functions such that g(x)=f(5x)g(x)=f(5x). (1) Given that (10,25)(10,25) lies on y=f(x)y=f(x), find the coordinates of the corresponding point on y=g(x)y=g(x). (2) Given that (−5,−15)(-5,-15) lies on y=g(x)y=g(x), find the coordinates of the corresponding point on y=f(x)y=f(x).

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