Question 1209603
<pre>
g(x) = (6x + 7)(2x - 3)

This is a parabola opening upward.

Its range will be [y coordinate of vertex, infinity)

{{{g(x) = (6x + 7)(2x - 3)}}}
{{{g(x) = 12x^2-4x-21}}}

a=12, b=-4, c=-21

Use the vertex formula

Range = {{{matrix(1,5,

"[",g(-b/(2a)),",",infinity,")")}}}

Range = {{{matrix(1,5,

"[",g(-(-4)/(2(12))),",",infinity,")")}}}

Range = {{{matrix(1,5,

"[",g(4/24),",",infinity,")")}}} 

Range = {{{matrix(1,5,

"[",g(1/6),",",infinity,")")}}}

{{{g(x) = 12x^2-4x-21}}}
{{{g(1/6) = 12(1/6)^2-4(1/6)-21}}}
{{{g(x) = 12(1/36)-2/3-21}}}
{{{g(x) = 1/3-2/3-63/3}}}
{{{g(x) = -64/3}}}

Range = {{{matrix(1,5,

"[",-64/3,",",infinity,")")}}}

Edwin</pre>