Question

Which expression is equivalent to (g*h)(5)?

Answer 1

For this case, we must perform a composition of functions.

Let two functions, f(x) and g(x). To find$(f_ {0} g)$ we calculate $f (g (x)$, that is, replace g (x) in f (x).

So, if we have:

$h (x) = x-7\\g (x) = x ^ 2$

And we want to find $(g_ {0} h) (x)$. We make:

$g (h (x)) = (x-7) ^ 2$

if we want the composite function evaluated at 5, we substitute $x = 5$

$g (h (5)) = (5-7) ^ 2$

Answer:

$g (h (5)) = (5-7) ^ 2$

Option A

Answer 2

Answer:(5-7)²

Step-by-step explanation:  as h(x)=x-7 and g(x)=x²

                                     so,     goh(x)=g(h(x))

                                                         =g(x-7)

                                                          =(x-7)²

                                  hence, goh(5)=(5-7)²