SOLUTION: Can I get help with this problem please, Given f(x)=1-5x and g(x)=x^2-3 find the composite function (fog)(x) and simplify. Thank you.

Algebra ->  Functions -> SOLUTION: Can I get help with this problem please, Given f(x)=1-5x and g(x)=x^2-3 find the composite function (fog)(x) and simplify. Thank you.      Log On


   

Question 163661: Can I get help with this problem please,
Given f(x)=1-5x and g(x)=x^2-3 find the composite function (fog)(x) and simplify.
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: %28fog%29%28x%29=f%28g%28x%29%29


f%28x%29=1-5x Start with the given function


f%28g%28x%29%29=1-5%28x%5E2-3%29 Plug in g%28x%29=x%5E2-3. In other words, replace each "x" with x%5E2-3


f%28g%28x%29%29=1-5x%5E2%2B15 Distribute


f%28g%28x%29%29=-5x%5E2%2B16 Combine like terms.