Manipulating the molecular basis of inheritance by recombinant DNA technology is called genetic engineering.

Here's why:

* Recombinant DNA technology involves combining DNA from different sources to create new combinations. This is the core process.

* Genetic engineering is the broader term encompassing the application of recombinant DNA technology to modify an organism's genetic makeup. This includes introducing new genes, deleting existing genes, or altering gene expression.

So, genetic engineering is the umbrella term that encompasses the use of recombinant DNA technology to manipulate the molecular basis of inheritance.