Question

suppose that the functions p and q are defined as follows. p(x)=x+1 q(x)=2x² -1 find the following. (q ∘p)(4) = (p ∘q)(4) =

Explanation:

Step1: Compute $p(4)$

$p(4)=4+1=5$

Step2: Compute $(q\circ p)(4)=q(p(4))$

$q(5)=2(5)^2 - 1=2\times25 - 1=50-1=49$

Step3: Compute $q(4)$

$q(4)=2(4)^2 - 1=2\times16 - 1=32-1=31$

Step4: Compute $(p\circ q)(4)=p(q(4))$

$p(31)=31+1=32$

Answer:

$(q\circ p)(4)=49$
$(p\circ q)(4)=32$