Let f(x) = x2 − 8x + 5. Find f(−1)

Answers

Answer 1

Answer: f(x) = x² - 8x + 5
f(-1) = (-1)² - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 9 + 5
f(-1) = 14

Answer 2

Answer: $f(x) = x^2- 8x + 5$

$f(-1) = (-1)^2- 8(-1) + 5$

$f(-1) = 1 + 8 + 5$

$f(-1) = 9 + 5$

$f(-1) = 14$

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What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Answers

Answer:

The range of the function is {-9, -3, 0, 5, 7}

Step-by-step explanation:

The range of a function is the set of all possible values of outputs of a function,

Here, the given function is,

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)},

Where, output values are 0, -3, -9, 5, 7,

Since, the set of the output values {-9, -3, 0, 5, 7 },

Which is the required range of the given function.

The range of given function is {-9, -3, 0, 5, 7}.

Further explanation

Given that {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)} is a relation since it is a set of ordered pairs.

Note that a and b are any two any elements, (a, b) is called an ordered pair where a is the first component and b is the second component.

The relation is a set of ordered pairs.
The domain is the set of all the first components of the ordered pairs.
The range is the set of all the second components of the ordered pairs.

We can conclude that:

its domain is {-5, -4, -2, 0, 2}
its range is {-9, -3, 0, 5, 7}

See the attachment for details.

Notes:

A function f is a rule that assigns to each element x in set A exactly one element y or f(x) in set B. Set A is called the domain and set B is called the range of the function f.

The relation above is represented by a list. This relationship can also be represented by the following:

a table
a map
a graph

Learn more

What are the domain and range of the function f(x) = 3x + 5? brainly.com/question/3412497
Determine the following pairs of functions that inverse of each other. brainly.com/question/4620451
Determine the domain of the composite function brainly.com/question/3852778

Keywords: what is the range of the given function, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}, domain, set, elements, ordered pairs, first components, second, represented by a list, a table, a map, a graph

What two numbers add to 9 but multiply to -42

Answers

The factors of 42 are 1,42,2,21,3,14,6,7. Non of these add together to get 9. One would have to be positive and the other negative but it still doesn't work.

Hi,

x+y = 9 ⇒ x = 9-y
x·y = -42

(9-y)·y = -42
9y-y² = -42
y²-9y-42 = 0 for a = 1, b = -9 e c = -42

Δ = b²-4ac
Δ = (-9)²-4(1)(-42)
Δ = 81+168
Δ = 249

y₁ = (-b+√Δ)/2a = (-(-9)+√249)/2(1) = (9+√249)/2 = 9/2 + √249/2
y₂ = (-b-√Δ)/2a = (-(-9)-√249)/2(1) = (9-√249)/2 = 9/2 - √249/2

For y = 9/2 + √249/2

x+y = 9
x = 9-y
x = 9-(9/2 + √249/2)
x = 9/2 - √249/2

For y = 9/2 - √249/2

x+y = 9
x = 9-y
x = 9-(9/2 - √249/2)
x = 9/2 + √249/2

Answer:

Numbers: 9/2 + √249/2 and 9/2 - √249/2

|2x-3| < 9 solve for x

Answers

$|2x-3| < 9 \n \n2x-3 < 9 \ \ and \ \ 2x-3 > -9 \n \n 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \n \n 2x < 12\ \ and \ \ 2x > -6 \n \n x < 6\ \ and \ \ x > - 3 \n \n x \in (-3,6)$