If f(x) = x - 7 and g(x) = x^3, what is g(f(

Hello, Chuck!  Start with G(x) = x^3.  Now replace "x" in G(x) with "F(x)" and replace "x" in x^3 with "x-7."  That's it.

You could expand G(F(x))=(x-7)^3 if you wish, but that's not strictly necessary.

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.