What is the range of the function f(x) = 3/4|x| - 3

Mathematics

1 answer:

Oduvanchick [21]2 years ago

4 0

Answer:

Step-by-step explanation:

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100 POINTS, WILL MARK BRAINLIEST! If h(x) = f[f(x)] use the table of values for f and f ′ to find the value of h ′(1).

victus00 [196]

Answer:

The value of $h^\prime(1)=5$

Step-by-step explanation:

Given that $h(x)=f(f(x))$

now to find $h(x)=f(f(x))$ from the given functions f(x) and f'x

let $h(x)=f(f(x))$

Then put x=1 in above function we get

$h(1)=f(f(1))$

$=f(3)$ (from the table f(1)=3 and f(3)=6)

Therefore h(1)=6

Now to find h'(1)

Let

$h^{\prime}(x)=f^{\prime}(f^\prime(x))$ (since $h(x)=f(f(x))$ )

put x=1 in above function we get

$h^{\prime}(1)=f^{\prime}(f^\prime(1))$

$=f^{\prime}(2)$ (From the table $f^\prime(1)=2$ and $f^\prime(2)=5$ )

$h^{\prime}(1)=5$

Therefore $h^{\prime}(1)=5$

4 0

3 years ago

Read 2 more answers

Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. The

sweet [91]

Answer:

Option A

Step-by-step explanation:

The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.

While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.

5 0

3 years ago

7/√10-√3<br> plss faast very urgent

Bogdan [553]

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