Question 1179406


Given 
{{{f(x) = 2x+3 }}}
{{{g(x) = 4-5x}}}

determine the value of {{{x}}} for which {{{f(2x) = g(1-x)}}}

{{{f(2x) = 2*2x+3 }}}
{{{f(2x) = 4x+3 }}}

{{{g(1-x) = 4-5(1-x)}}}
{{{g(1-x) = 4-5+5x}}}
{{{g(1-x) = -1+5x}}}

equal them

{{{4x+3 = -1+5x}}}...........solve for {{{x}}}

{{{1+3 = -4x+5x}}}

{{{x=4}}}

check:

{{{f(2x)= 4*4+3 =19}}}

{{{g(1-x) = -1+5*4=19}}}