The visitors created a few goalscoring opportunities early on and appeared to have opened the scoring in the 13th minute, but Ryan Yates’ goal from a clever set piece was ruled out for offside.
Kieffer Moore then spurned a golden chance to put Bournemouth ahead in the 25th minute, but winger Dango Ouattara spared his blushes three minutes later, creating the opener with a bit of brilliance on his league debut.
Ouattara, signed from Lorient earlier this week, shook off a couple of defenders on the right wing before squaring the ball to Anthony, who steered a low shot past goalkeeper Wayne Hennessey to net Bournemouth’s first league goal since November.
“Ouattara kept getting in down that side and it was about breaking into the box and keeping my composure,” Anthony said.
“Thankfully, I did that and could put it away. Dango has only had one training session so far and I’m sure he’ll be an exciting player for us.”
Jordan Zemura could have made it 2-0 minutes later, but his shot from a rebound was blocked on the line by Joe Worrall.
Forest continued to threaten after the break, with Brennan Johnson and Gibbs-White both forcing Neto into saves with shots from the edge of the area.