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2 years ago

MAX PTS! ASAP BUEHEHRJTJTJRJRJFHFHRJJEJRJRJEJEJEJEJ

Mathematics

1 answer:

maxonik [38]2 years ago

7 0

Answer:

A is the answer. ( -5 , 3 ) ∪ ( 3 , ∞ )

Step-by-step explanation:

given f(x) = $\frac{1}{x-3}$ , g(x) = √x+5

asked to find fg(x)

f(√x+5)

√ $\frac{1}{x-3}$ +5

$\begin{bmatrix}\mathrm{Solution:}\:&\:x>3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}$

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Step-by-step explanation:

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2 years ago

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2 years ago

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2 years ago

Read 2 more answers

What 18/25 simplest form?

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2 years ago

h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b

Nesterboy [21]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given the function $h(x)=\dfrac{1}{8}x^3-x^2$

The average rate of change of the function h(x) over the interval $a\le x\le b$ can be calculated using formula

$\dfrac{h(b)-h(a)}{b-a}$

In your case,

$a=-2,\\ \\b=2,$

so the average rate of change is

$\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}$

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2 years ago