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2 years ago

Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).

Mathematics

1 answer:

Rufina [12.5K]2 years ago

7 0

I don’t know if this is what you’re looking for but here

G(-3x+7)=-18x2+84x-106

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Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.

GaryK [48]

Answer:

$f'(x) = -28 \ at \ x = 2$

Step-by-step explanation:

$f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\$

$= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28$

4 0

3 years ago

Solve for x: 1/8-2/×=5<br><br>someone pls help me ASAP

cricket20 [7]

Begin by subtracting 1/8 from both sides to get $- \frac{2}{x} =5- \frac{1}{8}$ and get a common denominator of 8 on the right: $- \frac{2}{x} = \frac{40}{8} - \frac{1}{8}$ . Now simplify and cross-multiply: 39x = -16 andx = -16/39

6 0

3 years ago

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.

Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

6 0

2 years ago

In the set of real numbers, the first number less than -3 is -4. True False

mariarad [96]

True, -4 seems bigger because 4 is bigger than 3 but it's negative and is further away from 0

6 0