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3 years ago

If f(x)=5x-11 what is f(1)? f(3)?

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

Answer:

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Step-by-step explanation:

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Anastaziya [24]3 years ago

3 0

Step-by-step explanation:

Hi there!

Given;

f(x) = 5x-1

Now; Simply keep the value of x in the given function.

f(1) = 5*1-11

= -6

Again;

f(3) = 5*3-11

= 15-11

= 4

Therefore, f(1) = -6 and f(3) = 4.

Hope it helps!

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind

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Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

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9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

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a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

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Substitute a = 3 + b into (1)

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27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

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I added the diagram of the question.

Answer:
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If f(x)=5x-11 what is f(1)? f(3)?​

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