Find the indicated function value.
-$$f ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + x$$
Find $( f + g ) ( x )$
A) $2 x ^ { 3 } + \frac { 1 } { 5 } x ^ { 2 } + 2 x$
B) $x ^ { 3 } + \frac { 8 } { 5 } x ^ { 2 } + \frac { 4 } { 5 } x + 1$
C) $2 x ^ { 3 } + \frac { 2 } { 5 } x ^ { 2 } + 2 x$
D) $x ^ { 3 } + \frac { 4 } { 5 } x ^ { 2 } + \frac { 2 } { 5 } x + 1$

Question

Quizplus · Accepted Answer

To find $(f + g)(x)$, you add the functions $f(x)$ and $g(x)$ together: $f(x) + g(x) = (x^2 - \frac{1}{5}x + 1) + (x^3 + \frac{3}{5}x^2 + x) = x^3 + (\frac{3}{5} + 1)x^2 + (\frac{4}{5})x + 1$, which simplifies to $x^3 + \frac{8}{5}x^2 + \frac{4}{5}x + 1$.

Find the Indicated Function Value f(x)=x2−15x+1,g(x)=x3+35x2+xf ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + xf(x)=x2−51​x+1,g(x)=x3+53​x2+x

Find the Indicated Function Value $f ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + x$