Mathematics

Problem

Consider the function

h(x)=\dfrac{7-2x}{3x+6}

. a. (i) Determine the domain of

h

. b. (ii) Solve

h(x)=y

for

x

in terms of

y

and identify the value of

y

that must be excluded. c. (iii) Write the complete range of

h

using set-builder notation.