QuestionEvaluate the function $g(x)=4x+1$ for: (a) $g(-4)$, (b) $g(a)$, (c) $g(x^{3})$, (d) $g(4x-3)$.

Studdy Solution
Calculate the value of $g(4x -3)$.
$$g(4x -3) =4(4x -3) +1 =16x -12 +1 =16x -11$$So, $g(4x -3) =16x -11$.
The solutions are(a) $g(-4) = -15$ (b) $g(a) =4a +1$ (c) $g\left(x^{3}\right) =4x^{3} +1$ (d) $g(4x -3) =16x -11$