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3 years ago

Next Combining Functions: Mastery Test

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Answer:

D is closest

Step-by-step explanation: Snap add?

1. f(x)*g(x)

$\sqrt{x^{2}+12x+36}*x^{3}-12$

$(x^{2}+2\sqrt{3}x+6)*(x^{3}-12)$

$(x^{3}-12)(x^{2}+2\sqrt{3}x+6)$

$(x^{3}-12)(x^{2}+2\sqrt{3}x+6)\\\\x^5+2\sqrt{3}x^4+6x^3-12x^2-24\sqrt{3}x-72\\$

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

iren [92.7K]

Answer: The value of $(f_\circ g)(x)$ is $4(x+1)^2$ .

Step-by-step explanation:

Given: $f(x) = 4x^2 \text { and } g(x) = x+1$

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As we know it is composition function which means that g(x) function is in f(x) function.

So we have

$(f_\circ g) (x) = f[g(x)]$

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Now substitute the value of g(x) we get

$(f_\circ g)(x)= 4(x+1)^2$

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3 years ago

What is the value of the discriminant for the quadratic equation 0 = 2x2 + x – 3?

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Marco can swim at a speed of 45 m/min. define how long it will take him to swim 200 m he solve the equation 45 times to equal 20

user100 [1]

Answer:

The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes

Step-by-step explanation:

Given as :

The speed at which Macro swim = s = 45 meter per minute

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Let The time taken by Macro to cover 200 m = t minutes

<u>Now, From formula </u>

Distance = Speed × time

Or, d = s × t

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Or, t = 4.44 minutes

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Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer

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3 years ago