F(x)=x^2-3x+7 and g(x)=x+3 solve f(x)=g(x)

For this case we have the following functions:

Equalizing we have:

To solve we factorize, that is, we look for two numbers that when multiplied give a result of 4 and when added together give a result of -4. These numbers are -2 and -2.

Thus, we have:

So, the solution is