Respuesta :

we are given with two functions: h(x) = x – 7 and g(x) = x2. In this problem, we are asked to determine the value of g(h(5)). first we get g(h(x)) which is equal to (x-7)2, when x is substituted by 5, then g(h(5)) = (5-7)^2 equal to 4.

The value of "[tex](g.h)(5)[/tex]" is "4".

The given functions is the question are:

  • [tex]h(x) = x - 7[/tex]
  • [tex]g(x) = x^2[/tex]

Now,

The value of [tex](g.h)(5)[/tex] will be:

= [tex](5-7)^2[/tex]

= [tex](-2)^2[/tex]

= [tex]4[/tex]

Thus the above approach is correct.

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