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Juli2301 [7.4K]
3 years ago
8

F(x) = x2 + 2x-5 g(x) = -3/2 - 4x + 1 What is f(x) – g(x)?

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Step-by-step explanation:

Start by finding (fog)(x)

To find this function, substitute x=

x−1

4

That is g(x) into f(x)

⇒(f∘g)(x)=(

x−1

4

)

2

−2(

x−1

4

)+5

=

(x−1)

2

16

−

x−1

8

+5

Now substitute x=3

⇒(f∘g)(3)=

(3−1)

2

16

−

3−1

8

+5

=

4

16

−

2

8

+5=4−4+5=5.

Hope it helps:)

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Answer:

1. 1/3

2. 256

Step-by-step explanation:

3/3/3 is .133333 (3's are repeated)

4*4*4*4 is 256

5 0
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7 0
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alexira [117]

Answer:

50/7.

Simplified to 7.14.

Step-by-step explanation:

Combine like terms, 5x and 9x.

5x+9x=14x

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3 years ago
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What is the inverse of f(x) = -5x - 8?​
grin007 [14]

Answer:

y=-1/5x-9/5

Step-by-step explanation:

y=-5x-9

x=-5y-9

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y=-1/5x-9/5

8 0
3 years ago
diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

3 0
1 year ago
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