robert7248
robert7248 robert7248
  • 03-02-2019
  • Mathematics
contestada

For g(x) = 5x - 3 and h(x) = [tex]\sqrt{x}[/tex], find (g · h)(4)

Respuesta :

meredith48034
meredith48034 meredith48034
  • 03-02-2019
(5(4) - 3)(√4)

(20-3)*2
(17)*2

= 34
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carlosego
carlosego carlosego
  • 06-02-2019

For this case we have:

Let two functions, f (x) and g (x), then the composite function of f with g is [tex](gof) (x) = g [f (x)][/tex]

Let:

[tex]g (x) = 5x-3\\h (x) = \sqrt x[/tex]

We want to find [tex](g_ {0} h) (x)[/tex]

[tex](g_ {0} h) (x) = g [h (x)] = g (\sqrt x) = 5 \sqrt x -3\\(g_ {0} h) (4) = 5 \sqrt (4) -3 = 5 * 2-3 = 7[/tex]

Answer:

7


Answer Link

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