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3 years ago

If f(x) =x^2 + 4x and g(x) = 2x +4, find (fg)(1)

Mathematics

1 answer:

snow_lady [41]3 years ago

5 0

Step-by-step explanation:

Set up the composite result function.

f(g(x))f(g(x))

Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.

f(x2)=2(x2)−4f(x2)=2(x2)-4

Multiply 22 by x2x2.

f(x2)=2x2−4f(x2)=2x2-4

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Pls help fast !! Thanks

Pavlova-9 [17]

Answer:

A. 8fg + 3h

Step-by-step explanation:

$4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h$

8 0

3 years ago

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A drop in temperature of 9 degrees overnight

Rina8888 [55]

Whats the question?

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3 years ago

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lord [1]

ANSWER:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−2,−16)

Equation Form:

x= −2, y= −16

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3 years ago

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A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,

Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

$Day = 86400\ seconds$

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

$86400/2 = 43200$

$43200/2=21600$

$21600/2=10800$

$10800/2=5400$

$5400/2= 2700$

$2700/2 = 1350$

$1350/2=675$

$675/3=225$

$225/3=75$

$75/3=25$

$25/5=5$

$5/5 = 1$

This implies that:

$86400 = 2^7 * 3^3 * 5^2$

The number of factors d is the solved by:

$d = (a+1)*(b+1) *(c+1)$

Where

$n = 2^a * 3^b * 5^c$

By comparison:

$a = 7$

$b = 3$

$c=2$

So:

$d = (7+1)*(3+1) *(2+1)$

$d = 8*4 *3$

$d = 96$

<em>Hence, there are 96 total ways</em>

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3 years ago

Help I'm really confused. i need this ASAP!!!!!<br> -9a^2b^6(-7ab^-4)

Eva8 [605]

The top of “^” needs a number to solve it.

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3 years ago