SOLUTION: Can someone please walk me through this?
f(x)=5x-2 and g(x)=x^2+x
(f o g)(3) = ______
Thank you,
Alberto
jerry@san.rr.com
Algebra.Com
Question 326062: Can someone please walk me through this?
f(x)=5x-2 and g(x)=x^2+x
(f o g)(3) = ______
Thank you,
Alberto
jerry@san.rr.com
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First things first. If \ =\ 5x\ -\ 2)
, then \ =\ 5a\ -\ 2)
, \ =\ 5\left(\frac{y^3z}{w^2}\right)\ -\ 2)
. Whatever is in the parentheses following the function designator replaces the independent variable in the function definition.
Next: (x))
means \right))
. So
(x)\ =\ f\left(g(x)\right))
\right)\ =\ 5\left(g(x)\right)\ -\ 2)
But since \ =\ x^2\ +\ x)
,
\right)\ -\ 2\ =\ 5\left(x^2\ +\ x\right)\ -\ 2)
\ -\ 2\ =\ 5x^2\ +\ 5x\ -\ 2)
Note that (x)\ \neq\ (g\circ{f})(x))
(x)\ =\ \left(5x\ -\ 2\right)^2\ +\ (5x\ -\ 2)\ =\ 25x^2\ -\ 15x\ +\ 2)
John
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