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3 years ago

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function. (g − f)(x)

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

$(g-f)(x) = -x^2-5x-5$

Step-by-step explanation:

Given functions are:

$f(x) = x^2+6x-2\\g(x) = x-7\\h(x) = x+4$

The operations on functions can be performed just as they are performed on polynomials

$(g-f)(x)=g(x)-f(x)\\=(x-7)-(x^2+6x-2)\\=x-7-x^2-6x+2\\$

Combining like terms

$=-x^2+x-6x-7+2\\=-x^2-5x-5$

Hence,

$(g-f)(x) = -x^2-5x-5$

Keywords: Functions

Learn more about functions at:

#LearnwithBrainly

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12x-13x write an equivalent expression.

harina [27]

Answer:

-x

Step-by-step explanation:

12x-13x is -1x which can also be written as -x

5 0

3 years ago

A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?

Sergio [31]

Hey there!

Here is your answer:

The proper answer to this question is "44 times".

Reason:

You have to solve it this way:

12 heartbeats=16 seconds

16+16=32
36+16=48
48+16=64
16-12=4
12+12=36+8=44

Therefore lions heart beats 44 times every 60 seconds.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

6 0

3 years ago

I WILL MARK YOU THE BRAINLIEST IF YOU ANSWER THIS CORRECTLY WITH WORK

saul85 [17]

Answer:

Students on Honor Roll had no advantage to get the Science class requested. It was a fair class assignment. In fact No Honor Roll students had advantage over honor Roll Students in obtaining Science Class as requested.

Step-by-step explanation:

Here let us streamline the information we are given one by one

1.) Honor Roll

Get Requested Science Class : 64

Did Not get Requested Science Class : 80

Total : 144

Percentage of Honor Roll Students getting Science class as requested =

$\frac{64}{144}$

= 44.44%

2.) No Honor Roll

Get Requested Science Class : 315

Did Not get Requested Science Class : 41

Total : 356

Percentage of Non Honor Roll Students getting Science class as requested $= \frac{315}{356}$

= 88.8%

By observing the above result , we can assume that Honor Roll students did not have any advantage over non Honor Roll students in getting Science Class as they requested.

3 0

4 years ago

6. Darcy jogs 3 km in 20 min.

SOVA2 [1]

Answer:

a) 9 km

b) 18 km

c) She runs at a constant speed of 9 km/h

Step-by-step explanation:

7 0

3 years ago

I need some Help please

djverab [1.8K]

Answer:

a) f(2) = 4

b) g(3) = 3

c) g(1/3) = -1

d) f(3) = 1/2

e) g(-2) = 2

f) f(π) = 3

Step-by-step explanation:

We are given:

f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}

We need to find the following values of f and g

a) f(2)

f(2) means when x=2, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4

So, f(2) = 4

b) g(3)

g(3) means when x=3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3

So, g(3) = 3

c) g(1/3)

g(1/3) means when x=1/3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1

So, g(3) = -1

d) f(3)

f(3) means when x=3, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2

So, f(3) = 1/2

e) g(-2)

g(-2) means when x=-2, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2

So, g(-2) = 2

f) f(π)

f(π) means when x=π, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3

So, f(π) = 3

6 0

3 years ago