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3 years ago

(g of f)(-4) when f(x)=4x+5 and g(x)=4x^2 -5x-3

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x)=4x+5

g(x)=4x² - 5x - 3

To find (g o f)(-4) we must first find

(g o f )(x)

To find (g of f)(x) substitute f(x) into g(x)

That's

(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3

= 4( 16x² + 40x + 25) - 20x + 25 - 3

= 64x² + 160x + 100 - 20x + 22

(g o f)(x) = 64x² + 140x + 122

To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)

Thats

(g o f)(- 4) = 64(-4)² + 140(-4) + 122

= 64(16) - 576 + 122

= 1024 - 454

We have the final answer as

Hope this helps you

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Pls help due in 10 minutes!!!

Luden [163]

Answer:

$\sf 500,000,000,000=5 \times 10^{11}$

$\sf 0.00000000005=5 \times 10^{-11}$

Step-by-step explanation:

Scientific notation

$\large\boxed{a \times 10^n}$

where:

$1\leq a < 10$

$n$ is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is $n$ .

If the decimal point has moved to the left, $n$ is positive.
If the decimal point has moved to the right, $n$ is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point 11 places to left, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is positive.

$\implies \sf 500,000,000,000=5 \times 10^{11}$

To convert 0.00000000005 into scientific notation, move the decimal point 11 places to the right, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is negative.

$\implies \sf 0.00000000005=5 \times 10^{-11}$