The function has domain and range

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The function

f(x)

has domain

{x \mid -2 \le x \le 3}

and range

{y \mid -1 \le y \le 7}

. Find the domain and range of

g(x) = f(x + 3) - 4

. Explain your answers.