Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = 3 x ^ { 2 } - 3 x - 5 ; \quad f ( x - 1 )$$
A) $3 x ^ { 2 } - 9 x + 1$
B) $- 9 x ^ { 2 } + 3 x + 1$
C) $3 x ^ { 2 } - 9 x - 5$
D) $3 x ^ { 2 } - 18 x - 5$

Question

Quizplus · Accepted Answer

To find $f(x-1)$, substitute $x-1$ for $x$ in the function: $f(x-1) = 3(x-1)^2 - 3(x-1) - 5$. Simplify: $3(x^2 - 2x + 1) - 3x + 3 - 5 = 3x^2 - 6x + 3 - 3x + 3 - 5 = 3x^2 - 9x + 1$.

Evaluate the Function at the Given Value of the Independent f(x)=3x2−3x−5;f(x−1)f ( x ) = 3 x ^ { 2 } - 3 x - 5 ; \quad f ( x - 1 )f(x)=3x2−3x−5;f(x−1)

Evaluate the Function at the Given Value of the Independent $f ( x ) = 3 x ^ { 2 } - 3 x - 5 ; \quad f ( x - 1 )$