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Damm [24]
4 years ago
5

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is (f⋅g)(x)?

Mathematics
1 answer:
Maurinko [17]4 years ago
7 0

Answer:   x⁵ - 2x³ + 2x² - 8x + 4

<u>Step-by-step explanation:</u>

f(x) = x³ - 4x + 2          

g(x) = x² + 2

(f · g)(x) = (x² + 2) (x³ - 4x + 2)

           = x²(x³ - 4x + 2)   + 2(x³ - 4x + 2)

           = x⁵ - 4x³ + 2x²    + 2x³ - 8x + 4

           = x⁵ - 2x³ + 2x² - 8x + 4     ⇒  <em>added like terms (-4x³ and 2x³)</em>

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3 years ago
Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer
Andrews [41]

Answer:

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Step-by-step explanation:

Given

(x_1,y_1) = (2,\frac{2}{3})

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Required

Write the equation of the function f(x) = ab^x

Express the function as:

y = ab^x

In: (x_1,y_1) = (2,\frac{2}{3})

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In (x_2,y_2) = (3,\frac{5}{9})

y = ab^x

\frac{5}{9} = a * b^3 --- (2)

Divide (2) by (1)

\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}

\frac{5}{9}/\frac{2}{3} = b

\frac{5}{9}*\frac{3}{2} = b

\frac{5}{3}*\frac{1}{2} = b

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b = \frac{5}{6}

Substitute 5/6 for b in (1)

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\frac{2}{3} = a * \frac{5}{6}^2

\frac{2}{3} = a * \frac{25}{36}

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a = \frac{2}{1} * \frac{12}{25}

a = \frac{24}{25}

The function: f(x) = ab^x

f(x) = \frac{24}{25} * \frac{5}{6}^x

7 0
3 years ago
Need help ASAP! Looking for someone to show work, it’s completely fine if you don’t tho!
andreyandreev [35.5K]
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Colt1911 [192]

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Step-by-step explanation:

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no solution

I'm not sure if there was supposed to be a variable in there somewhere, but I did my best to explain. Hope this helps!

4 0
4 years ago
Read 2 more answers
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