Question 972979
Here's the graph:
{{{ graph( 400, 400, -6, 6, -6, 6, log( 2, x+1 ) + 2 ) }}}
The graph goes through ( 0, 2 ) since
{{{ f(0) = log( 2,1 ) + 2 }}}
{{{ f(0) = 0 + 2 }}}
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{{{ x }}} can never be more negative than {{{ -1 }}} since
that would mean a log which gives you a negative number
which is impossible
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As {{{ x }}} approaches {{{ -1 }}},  {{{ f(x) }}} becomes more
negative since
{{{ log( 2, 0 ) }}} = minus infinity
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When {{{ f(x) = 0 }}}
{{{ 0 = log( 2, x+1 ) + 2 }}}
{{{ log( 2, x+1 ) = -2 }}}
{{{ 2^(-2) = x + 1 }}}
{{{ 1/4 = x + 1 }}}
{{{ x = -3/4 }}}
which seems to agree with plot
Hope this helps