It turns out that with the input shifted by three volts and an overall gain of five requirement, R7 and R8 must be the same value. That is, R7 = 470 ohms as well as shown here. Now, R6 would have to be set to a value which would make the overall gain be five and that would be 157 ohms as shown. You can check the result by making sure R6 in parallel with R7 would be the right value so that when divided into R8, you get four. Now turning our attention to the output, note the three diodes placed within the feedback loop. These diodes act like a fixed voltage shift such that even when Vout is at zero volts, the LMH6723 output is within its operating ratings at three diode drops higher. The three diode shift would put the LMH6723 output at around two volts when Vout is zero volts. Note that the temperature coefficient or temperature variations of these diodes would not alter Vout but it does vary the LMH6723 output voltage. Therefore, temperature shift will not alter the amplifier’s output voltage but care should be given to make sure the LMH6723 itself is not shifted out of its usable range. In practice you may find that you would need to add small-valued ceramic caps across D1 through D3 in order to minimize their AC impedance.