MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Suppose f and g are functions such that g(x)=3f(2x).
(a) What transformations are needed to map y=f(x) onto y=g(x)?
(b) Find the image of each of these points on y=f(x): (i) (3,−5) (ii) (1,2) (iii) (−2,1).
(c) Find the point on y=f(x) which maps onto the image point: (i) (2,1) (ii) (−3,2) (iii) (−7,3).