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2 years ago

Finding Value of Function

Mathematics

1 answer:

Anestetic [448]2 years ago

4 0

Answer:

Step-by-step explanation:

fx+3

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F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

7 months ago

Which expression is equal to 5^4⋅5^8 ? 512 54 52 5−4

KiRa [710]

Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)

The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.

So, 5^4*5^8 = 5^(4+8) = 5^12

3 0

3 years ago

Can someone help with this

mixas84 [53]

Step-by-step explanation:

-10-2x = 3x+15

5x = -25

x= -5

5 0

1 year ago

The assumptions made are: The gas molecules from Caesar's last breath are now evenly dispersed in the atmosphere. The atmosphere

Dovator [93]

Answer:

$2.6\times 10^{19}m^{3}$

Step-by-step explanation:

we have given thickness of atmosphere =50 km

radius of earth =6400 km

average temperature of atmosphere=15°C

Average pressure of atmosphere= 0.20 atm

we have to calculate the volume of atmosphere

so the we have to calculate the volume of atmosphere = ( volume of earth +atmosphere) - volume of earth

volume of atmosphere = $\frac{4}{3}\times\pi \times \left ( 6400+50 \right )^{3}-\frac{4}{3}\times \pi\times 6400^3$

= $2.6\times 10^{19}m^{3}$

6 0

3 years ago

What is completely factored form of x^4+8x^2-9

olganol [36]

X^4 + 8x^2 - 9
= (x^2 + 9)(x^2 - 1)
= (x^2 + 9)(x + 1)(x - 1) Answer

4 0

2 years ago

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