Question 19

Explanation

We need to find the value of $Q$ first, which is the value of $f(g(a))$ for $a = 4$ or $a = -4$.

Calculating the value of g(a)

Since $a = 4$ or $a = -4$, and the function $g(x)$ contains $x^2$, the result of $g(a)$ will be the same for both values of $a$.

So, $g(a) = 15$.

Calculating the value of f(g(a))

Now we substitute the result $g(a) = 15$ into the function $f(x)$.

So, the value of $Q = 7.4$.

Comparing P and Q

We know that $P = 7$.

Thus:

So, Quantity $P$ is less than $Q$.