Which value is in the domain of f(x)?

Mathematics

2 answers:

Vlad1618 [11]3 years ago

6 0

Answer:

Step-by-step explanation:

The domain is the inputs (or the x values)

We start at -6 (but do not include it) and end at +4 (we include it)

-6 < x ≤4

The value that is included is 4

ahrayia [7]3 years ago

4 0

Answer:

Step-by-step explanation:

$f(x)=-2x+3, 0$

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Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$