SOLUTION: {{{ f(x)= x^2-7 }}} and {{{ g(x)= x+3 }}} find (f-g)(t+2)

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Question 663846: +f%28x%29=+x%5E2-7+ and +g%28x%29=+x%2B3+ find (f-g)(t+2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
+f%28x%29=+x%5E2-7+ and
+g%28x%29=+x%2B3+
find:+%28f-g%29%28t%2B2%29
first write f%28x%29-g%28x%29
f%28x%29-g%28x%29=x%5E2-7-%28x%2B3%29
f%28x%29-g%28x%29=x%5E2-7-x-3
f%28x%29-g%28x%29=x%5E2-x-10.....now replace each x with t%2B2

f-g%28t%2B2%29=%28t%2B2%29%5E2-%28t%2B2%29-10
f-g%28t%2B2%29=t%5E2%2B4t%2B4-t-2-10
f-g%28t%2B2%29=t%5E2%2B3t%2B4-12
f-g%28t%2B2%29=t%5E2%2B3t-8