if $h(x)=6 - x$, what is the value of $(hcirc h)(10)$?\n-4\n-2\n10\n16

if $h(x)=6 - x$, what is the value of $(hcirc h)(10)$?\n-4\n-2\n10\n16

if $h(x)=6 - x$, what is the value of $(hcirc h)(10)$?\n-4\n-2\n10\n16

Answer

Explanation:

Step1: Recall composition formula

$(h\circ h)(x)=h(h(x))$.

Step2: First find $h(10)$

Given $h(x) = 6 - x$, then $h(10)=6 - 10=-4$.

Step3: Then find $h(h(10))$

Since $h(10)=-4$, then $h(h(10))=h(-4)$.

Step4: Calculate $h(-4)$

Substitute $x = - 4$ into $h(x)$, we get $h(-4)=6-(-4)=6 + 4 = 10$.

Answer:

10