Evaluate as indicated.
-If $f ( x ) = 3 x ^ { 2 } + 8 x - 3$, find and simplify $f ( 2 + x )$.
A) $3 x ^ { 2 } + 20 x + 25$
B) $3 x ^ { 2 } + 2 x + 25$
C) $25 + x$
D) $3 x ^ { 2 } + 8 x - 5$

Question

Quizplus · Accepted Answer

To find $f(2 + x)$, substitute $2 + x$ for $x$ in the given function: $f(x) = 3x^2 + 8x - 3$. So, $f(2 + x) = 3(2 + x)^2 + 8(2 + x) - 3$. Simplifying, $f(2 + x) = 3(x^2 + 4x + 4) + 16 + 8x - 3 = 3x^2 + 12x + 12 + 16 + 8x - 3 = 3x^2 + 20x + 25$.

Evaluate as Indicated f(x)=3x2+8x−3f ( x ) = 3 x ^ { 2 } + 8 x - 3f(x)=3x2+8x−3

Evaluate as Indicated $f ( x ) = 3 x ^ { 2 } + 8 x - 3$