# SOLUTION: Function composition: f(x)=4x-3, g(x)=5xsquared-2 and i need the to have the g[f(X)] explained. Thanks!

Algebra ->  -> SOLUTION: Function composition: f(x)=4x-3, g(x)=5xsquared-2 and i need the to have the g[f(X)] explained. Thanks!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Click here to see ALL problems on Functions Question 343026: Function composition: f(x)=4x-3, g(x)=5xsquared-2 and i need the to have the g[f(X)] explained. Thanks!Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website! If you have a function such that the value of the function at , namely is defined by some expression involving , then you evaluate by replacing in the definition of with a and then doing the arithmetic. Just as an example, let's define . Given that definition, , whereas . Of course, you need to do the arithmetic and simplify, but the concept is simply that you replace the independent variable by whatever is in the parentheses following the function identifier. Therefore, if someone says, evaluate where , you replace the variable with , thus: . And the same idea to evaluate which would look like: . So you need to write out your and then replace the independent variable, , with the definition of . And then simplify, of course. John My calculator said it, I believe it, that settles it