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soldi70 [24.7K]
3 years ago
12

F(x)=4^x-8 g(x)= 5x+6 find (f-g)(x)

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
F(x) = 4^x -8

g(x) = 5x+6

(f – g)(x) = f (x) – g(x)

              = 4^x -8 - 5x+6
              = 4^x - 5x-2
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Answer:

y - 7 = 4(x - 35)

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\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

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The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

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Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

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Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

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Substituting (2, 16), and c = 6

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