8v6np2pd8c 8v6np2pd8c
  • 13-03-2024
  • Mathematics
contestada

Determine f(3+h)-f(3)/h if f(x)=4x-5

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hsebbullymoon11 hsebbullymoon11
  • 13-03-2024

Answer:f(x) = 4x - 5

f(3+h) = 4(3+h) - 5

      = 12 + 4h - 5

      = 4h + 7

f(3) = 4(3) - 5

    = 12 - 5

    = 7

Now, substitute these values into the expression (f(3+h) - f(3))/h:

(f(3+h) - f(3))/h = ((4h + 7) - 7)/h

                 = (4h)/h

                 = 4

So, (f(3+h) - f(3))/h = 4.

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