Slasherxxxidn
Answered

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Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) =


I have the answers already but I really don't understand so I'm primarily in this for the explanation and work please!

Thank you <3

Sagot :

Mhanifaidn

Answer:

  • h(g(f(x))) = -8x² - 40x - 50

Step-by-step explanation:

Given:

  • f(x) = 2x + 5
  • g(x) = x²
  • h(x) = -2x

To find h(g(f(x))) first find g(f(x)), substitute x with f(x):

  • g(f(x)) = g(2x + 5)

Since g(x) = x², the value of g(2x + 5) is:

  • g(f(x)) = (2x + 5)²

Now, the next step:

  • h(g(f(x))) = h((2x + 5)²) = -2(2x + 5)² = -8x² - 40x - 50
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