Mathematics

Problem

Let

g:[-2,3]\to \mathbb R

be defined by

g(x)=5x-7

. a. (i) Solve the equation

g(x)=y

for

x

in terms of

y

. b. (ii) Using the result of (i), find the range of

g

on the given domain. c. (iii) For each of the following codomains, state with brief justification whether

g

is surjective: (a)

\mathbb R

(b)

[-17,8]

(c)

(-\infty,8]