A Level

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

Problem

Let

f(x)=\log_{3}(2x-1)

and

g(x)=4^{x+2}

. (i) Find

(f\circ g)(x)

and simplify your answer as far as possible. (ii) Calculate

(f\circ g)(-1)

. (iii) Determine the domain of

(f\circ g)(x)

, writing your answer in interval notation.

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