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3 years ago

Can anyone tell me how to do this? Step by step

Mathematics

2 answers:

svp [43]3 years ago

7 0

Step-by-step explanation:

f(x)=x^2-4x-9

g(x)=-3x-5

so when f(g(x)) that x is a number

-3x-5 equals the number in f(x) so that x is -3x-5

f(-3x-5) and if f(x)=x^2-4x-9

then inserting in -3x-5 for x in f(x) and distrubute

(-3x-5)^2-4(-3x-5)-9

9x^2+42x+36

I hope that helps :)

amm18123 years ago

7 0

Answer:

9x^2 + 42x + 16

Step-by-step explanation:

f(g(x))

Plug in the expression for g(x)

f(g(x)) = f(-3x - 5)

f(x) = x^2 - 4x - 9

For every x in f(x) replace it with -3x - 5

f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9

Expand

f(-3x - 5) = (9x^2 + 30x + 25) + (12x + 20) - 9

Combine like terms

f(-3x - 5) = 9x^2 + 42x + 16

f(g(x)) = 9x^2 + 42x + 16

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Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent to x Russian rubles, and the function g(x) =

const2013 [10]

Answer:

g(f(x)) = 3.15x

Step-by-step explanation:

To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.

If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,

g(f(x)) = 90 (0.035x)

g(f(x)) = 3.15x

THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.

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3 years ago

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Zina [86]

Answer:

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3 0

3 years ago

Find the midpoint of A and B where A has coordinates (2, 4)<br> and B has coordinates (-3, -9).

tatuchka [14]

Answer:

(-0.5,-2.5)

Step-by-step explanation:

(x1 + x2) / 2 = x midpoint
(y1 + y2) / 2 = y midpoint

⇒ 2 + -3 = 5

⇒ 5 / 2 = -0.5

⇒ 4 + -9 = -5

⇒ -5 / 2 = -2.5

→ = (-0.5, -2.5)

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2 years ago

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Solve for

lakkis [162]

Answer:

Step-by-step explanation:

this is so simple

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2 years ago

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cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.

Brilliant_brown [7]

Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

$xy=\frac{768}{24}\\xy=32\\$

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

3 0

3 years ago