Evaluate the function at the indicated value.
-Find $f ( x + h )$ when $f ( x ) = 3 x ^ { 2 } + 5 x + 2$
A) $3 x ^ { 2 } + 3 h ^ { 2 } + 5 x + 5 h + 2$
B) $3 \mathrm { x } ^ { 2 } + 3 \mathrm {~h} ^ { 2 } + 11 \mathrm { x } + 11 \mathrm {~h} + 2$
C) $3 x ^ { 2 } + 3 x h + 3 h ^ { 2 } + 5 x + 5 h + 2$
D) $3 x ^ { 2 } + 6 x h + 3 h ^ { 2 } + 5 x + 5 h + 2$

Question

Quizplus · Accepted Answer

To find $f(x + h)$, substitute $x + h$ for $x$ in the function $f(x) = 3x^2 + 5x + 2$. This gives $3(x + h)^2 + 5(x + h) + 2$, which simplifies to $3x^2 + 6xh + 3h^2 + 5x + 5h + 2$.

Evaluate the Function at the Indicated Value f(x+h)f ( x + h )f(x+h)

Evaluate the Function at the Indicated Value $f ( x + h )$