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3 years ago

F (x) = x^2 + 2x - 5 g(x) = 2x + 4 What is (f• g)(x)?

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

Answer:

Step-by-step explanation:

This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):

$f(g(x))=(2x+4)^2+2(2x+4)-5$ and I imagine your teacher has you simplify completely. We FOIL and distribute to get

$f(g(x))=4x^2+16x+16+4x+8-5$ which, by combining like terms, give us

$f(g(x))=4x^2+20x+19$

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I have no idea what this is-

Studentka2010 [4]

Answer:

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6 0

2 years ago

Read 2 more answers

How many gallons, quarts, and pints are in 72 cups (not all together)

Fynjy0 [20]

Answer:

72 cups=4.5 gallons

72 cups=18 quarts

72 cups=36 pints

Step-by-step explanation:

To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to divide the volume value by 16.

Hope this helped for you!

4 0

3 years ago

This quiz needs a reason and an answer

Len [333]

y = -13, 13

There are two answers because you are taking the square root of a number. If we go the other way, to check our work, (-13)^2 = 169 and (13)^2 = 169.

Hope this helps! :)

7 0

2 years ago

Read 2 more answers

PLEASE HELP

irina [24]

Take the longer leg length as $x$

$(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0$

Use the formular
$x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32$

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft

8 0

3 years ago

If √2 = 1.414 then the value of 5+√2 / 5-√2 is

Gala2k [10]

Answer:

1.787

Step-by-step explanation:

$\\ \sf \frac{5 + \sqrt{2} }{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} }$