Problem

Let f, left parenthesis, x, right parenthesis, equals, 2, natural log, left parenthesis, x, plus, 4, right parenthesis and let g, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1.
The graph of y, equals, f, left parenthesis, x, right parenthesis is shown below.
Use the interactive graph to sketch a graph of y, equals, g, left parenthesis, x, right parenthesis.
Let x, start subscript, 1, end subscript and x, start subscript, 2, end subscript be solutions of space, 2, natural log, left parenthesis, x, plus, 4, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1, where x, start subscript, 1, end subscript, is less than, x, start subscript, 2, end subscript.
Estimate the value of x, start subscript, 1, end subscript.
Answers within 0, point, 5 units of the solution will be accepted.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
Do 4 problems