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3 years ago

The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

Answer:

3x^2 + 8

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

=f(x^2) ( From equation (2) )

=3x^2 + 8 ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

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Ganezh [65]

Answer:

Note that

Lower Bound = X - z(alpha/2) * s / sqrt(n)

Upper Bound = X + z(alpha/2) * s / sqrt(n)

where

alpha/2 = (1 - confidence level)/2 = 0.025

X = sample mean = 1723.4

z(alpha/2) = critical z for the confidence interval = 1.959963985

s = sample standard deviation = 89.55083319

n = sample size = 30

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Upper bound = 1755.444765

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( 1691.355235 , 1755.444765 ) [ANSWER]

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4 years ago

Find all the real square roots of 9/16

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Step-by-step explanation:

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3 years ago

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

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3 years ago