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3 years ago

If f(x)=x+3 and g(x)= x^2 -4 find the expression for g(f(x))

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer:g(f(x))= x^2 +6x+5

Step-by-step explanation:

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

g(f(x))= (x+3)^2 -4

g(f(x))= (x+3)(x+3) -4

g(f(x))= x^2 +6x+9-4

g(f(x))= x^2 +6x+5

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Sina=3/5 find cos2a

yarga [219]

Answer:

$\huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} }$

Step-by-step explanation:

$\because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\$

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2 years ago

If f(x) = 2x + 3 and g(x) = x2-7, find (f+g)(x)

love history [14]

<span>f(x) = 2x + 3
</span><span>g(x) = x²-7

</span>(f+g)(x) = f(x) + g(x) = 2x + 3 + x² - 7 = x² + 2x - 4

(f+g)(x) = x² + 2x - 4

3 0

3 years ago

Which of the following expressions is equivalent to?

gayaneshka [121]

Answer:

It's the last choice: 2x^2 - 5x - 8 - 37/(x - 5).

Step-by-step explanation:

Long division:

2x^2 - 5x -8 <---------------Quotient

---------------------------------

x - 5 ) 2x^3 - 15x^2 + 17x + 3

2x^3 - 10x^2

- 5x^2 + 17x

- 5x^2 + 25x

- 8x + 3

- 8x + 40

-37 <------ Remainder.

7 0

3 years ago

Write in decimal form:

Nuetrik [128]

This makes no sense could you rewrite it please

6 0

3 years ago

If a 156 pound 12yo falls 10 feet and lands on their head, will they be knocked out?

Amanda [17]

Answer:

Porbably

Step-by-step explanation:

they fell 10 feet and landed on they head

7 0

2 years ago