if $c(x)=4x - 2$ and $d(x)=x^{2}+5x$, what is $(ccirc d)(x)$?\n$4x^{3}+18x^{2}-10x$\n$x^{2}+9x…

if $c(x)=4x - 2$ and $d(x)=x^{2}+5x$, what is $(ccirc d)(x)$?\n$4x^{3}+18x^{2}-10x$\n$x^{2}+9x - 2$\n$16x^{2}+4x - 6$\n$4x^{2}+20x - 2$

if $c(x)=4x - 2$ and $d(x)=x^{2}+5x$, what is $(ccirc d)(x)$?\n$4x^{3}+18x^{2}-10x$\n$x^{2}+9x - 2$\n$16x^{2}+4x - 6$\n$4x^{2}+20x - 2$

Answer

Explanation:

Step1: Recall composition of functions

$(c\circ d)(x)=c(d(x))$.

Step2: Substitute $d(x)$ into $c(x)$

Since $d(x)=x^{2}+5x$ and $c(x) = 4x-2$, then $c(d(x))=4(x^{2}+5x)-2$.

Step3: Expand the expression

$4(x^{2}+5x)-2=4x^{2}+20x - 2$.

Answer:

$4x^{2}+20x - 2$