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uysha [10]
3 years ago
6

Assume f(x) = -2x+8 and g(x) = 5x. What is the value of (f o g)(3)?

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer: C

Step-by-step explanation:

(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).

g(3)=5(3)                  [multiply]

g(3)=15

Now, we plug in 15 into f(x).

f(g(3))=-2(15)+8       [multiply]

f(g(3))=-30+8           [add]

f(g(3))=-22

Now, we know that C is the correct answer.

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Here's our equation:

\frac{1}{4} (-8x-12)-4=\frac{3}{4} (-8x-12)

Factor out the left side

(-2x - 3) - 4 = 3/4 (-8x - 12)

Simplify

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Factor out the right side

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Add 7

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Add 6x to isolate the variable

4x = -2

Divide by 4

x = - 1/2

Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.

Begin with 3/4 (-8x - 12)

Use rule a*\frac{b}{c} = \frac{a * b}{c} to multiply

3(-8x-12)/4

Factor 3(-8x-12)

(-8x - 12) = (-4 * 2x - 4 * 3)

Simplify (-4 * 2x - 4 * 3)

-3 * 4 (2x+3)

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Now that we've factored  3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.

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