All categories

3 years ago

If f(x) = –2x^3, g(x) = 3x – 5, and h(x) = x – 1, what is f(g(h(3)))?

Mathematics

1 answer:

sveta [45]3 years ago

5 0

Put the value of x = 3 to the equation of the function h(x)

$h(x)=x-1\\\\h(3)=3-1=2$

Put the value of h(3) = 2 to the equation of the function g(x)

$g(x)=3x-5\\\\g(2)=3\cdot2-5=6-5=1$

Put the value of g(2) = 1 to the equation of the function f(x)

$f(x)=-2x^3\\\\f(1)=-2\cdot1^3=-2\cdot1=-2$

Answer: -2

You might be interested in

Mr liston bought lunch for $ 12.80. He gave the waiter a tip of 15 %. How much money did the waiter recieve?

Serga [27]

The answer would be B, because 12.80 times .15 is 1.92

5 0

3 years ago

Read 2 more answers

One half gallon is equivalent to 4 pints.how many gallons are the equivalent of 72 pints

malfutka [58]

Answer: 9 gallons

<u>Step-by-step explanation:</u>

Set up the proportion, then multiply to solve for the variable.

$\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=\dfrac{x}{72\ \text{pints}}$

$(72\ \text{pints})\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=(72\ \text{pints)}\dfrac{x}{72\ \text{pints}}$

$\dfrac{36\ \text{gallons}}{4}=x}$

9 gallons = x

5 0

3 years ago

If the dollar store is 5 miles away from my house, and my dad walks at 5 Mph, why has it taken my dad 12 years to come back?

Ghella [55]

Hes friends with my dad

8 0

2 years ago

Which of the binomials below is a factor of this trinomial 3x^2+18-21

KengaRu [80]

Answer:

Step-by-step explanation:

you will get 3(x-1)×(x+1) you can get the 3 and x by itself then it would be x+3

4 0

3 years ago

Consider a total of 1,000 people. If it was said that within 1 deviation (of the mean) of all people like MATH 123, how many of

Lesechka [4]

Answer:

680 students

Step-by-step explanation:

The 68 - 95 - 99.7 rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean, 95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.

Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:

number of people that like MATH 123 = 68% of the population

number of people that like MATH 123 = 0.68 * 1000

number of people that like MATH 123 = 680 students

3 0

2 years ago