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Dmitry [639]
3 years ago
15

Write a rule for linear function in the table

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

d. f(x)=2x+1

f(5)=2(2)+1

f(5)=4+1

f(5)=5

f(11)=2(5)+1

f(11)=10+1

f(11)=11

f(8)=2(8)+1

f(8)=16+1

f(8)=17

f(23)=2(11)+1

f(23)=22+1

f(23)=23

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Given that f(x)=x2-1 and g(x)=2x+8 find (g-f)(10)
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Answer:

<h2>(g-f)(10) = - 71</h2>

Step-by-step explanation:

f(x) = x² - 1

g(x) = 2x + 8

To find (g-f)(10) first find ( g - f)(x)

To find ( g - f)(x) subtract f(x) from g(x)

That's

( g - f)(x) = 2x + 8 - ( x² - 1)

Remove the bracket

( g - f)(x) = 2x + 8 - x² + 1

Simplify

( g - f)(x) = - x² + 2x + 9

To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)

That is

(g-f)(10) = -(10)² + 2(10) + 9

= - 100 + 20 + 9

= - 100 + 29

= - 71

Hope this helps you

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