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3 years ago

What are the restrictions on the domain of g o h?

Mathematics

2 answers:

anzhelika [568]3 years ago

8 0

Answer:

Step-by-step explanation:

100%

umka21 [38]3 years ago

5 0

$g(x) = \sqrt{x-4}$ and h(x)= 2x-8

g o h is a composition function

First we find g o h

g o h is g(h(x))

We plug in h(x) in g(x)

We replace x with 2x-8 in g(x)

$g(h(x)) = g (2x-8) = \sqrt{2x-8-4} = \sqrt{2x-12}$

$g(h(x)) = \sqrt{2x-12}$

To find domain we look at the domain of h(x) first

Domain of h(x) is set of all real numbers

now we look at the domain of g(h(x))

Negative number inside the square root is imaginary. so we ignore negative number inside the square root

So to find domain we set 2x - 12 >=0 and solve for x

2x - 12 >=0

add both sides by 12

2x >= 12

divide both sides by 2

x > = 6

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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the d

Sloan [31]

Answer:

D) Quadratic

Step-by-step explanation:

A function is graphed on a coordinate grid.

As the domain values approach infinity, the range values approach infinity.

Domain: If $x\rightarrow \infty$ then

Range: $y\rightarrow \infty$

As the domain values negative infinity, the range values approach infinity.

Domain: If $x\rightarrow -\infty$ then

Range: $y\rightarrow \infty$

We need to choose correct option which follows given domain and range.

Only quadratic function will follow the rule because it has even degree polynomial.

Quadratic function: $f(x)=ax^2+bx+c$

Degree = 2 and leading coefficient is positive.

Domain: $x\belong (-\infty,\infty)$

Range: $y\belong (b,\infty)$

Hence, D is correct option.

4 0

3 years ago

Read 2 more answers

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

3 years ago

Can somebody plz help answer all these questions CORRECT thanksss!

Natali5045456 [20]

Answer:

37%, 93%, 58%, 21%, 54%, 13%, 34%, 90%, 80%, 52%, 35%

Step-by-step explanation:

37/100 = 37%, 93/100 = 93%, 58/100 = 58%, 21/100 = 21%, 54/100 = 54%, 13/100 = 13%, 17/50 = 34/100 = 34%, 9/10 = 90/100 = 90%, 4/5 = 80/100 = 80%, 13/25 = 52/100 = 52%, 7/20 = 35/100 = 35%

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2 years ago

Kleyder heard that a car stereo system was on sale for 30% off. If the original price was $82.50, what was the sale price of the

AysviL [449]

Answer:

This means the cost of the item to you is $57.75. You will pay $57.75 for a item with original price of $82.50 when discounted 30%. In this example, if you buy an item at $82.50 with 30% discount, you will pay 82.50 - 24.75 = 57.75 dollars.

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3 years ago

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ValentinkaMS [17]

Try using this
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3 years ago