The distance between the graphs is
. Solving the equation we get which is a point of maximum.
Then the maximum of is .
To find , from the equality we must represent as a fucntion of .
So .
Then
it'd be great if anyone could help me on this, im kinda stuck..
Okay, so there's a diagram, and it shows the graphs of f(x) = 1 + e^2x and g(x) = 10x + 2, where 0 [FONT='Times New Roman','serif']≤ x [FONT='Times New Roman','serif']≤ 1.5[/FONT][/FONT]
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(a) (i) write down an expression for the vertical distance p between the graphs of f and g.
(ii) given that p has a maximum value for 0 [FONT='Times New Roman','serif']≤ x [FONT='Times New Roman','serif']≤ 1.5, find the value of x at which this occurs. [/FONT][/FONT]
(b) (i) i dont know if you guys could help me out on this one as well without the diagram, but here it is. so the graph of y = f(x) is there, and it says that when x = a and y = 5, what is f^-1(x).
(ii) hence show that a - ln2
thanks a lot!