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Alisiya [41]
3 years ago
13

Find the inverse

(x)=x^{2} +10" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

9514 1404 393

Answer:

  f^{-1}(x)=\pm\sqrt{x-10}

Step-by-step explanation:

You can find the inverse of

  y = f(x)

by solving for y:

  x = f(y)

__

  x = y² +10

  x -10 = y² . . . . . . . . subtract 10

  ±√(x -10) = y . . . . . take the square root

The inverse relation is ...

  \boxed{f^{-1}(x)=\pm\sqrt{x-10}}

__

It is not a <em>function</em> unless some restriction is placed on the domain of f(x).

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What is the domain of f/g given f(x) = x+4 and g(x) = x-1
Butoxors [25]

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

5 0
2 years ago
Please help me solve inequalities and show work. Will get brainiest!!
Dahasolnce [82]
The answer depends on whether you're looking for the x or the y. If y, the answers are the ones on the left, and the x on the right.

1) -4x + 3y ≤ 15        -4x + 3y <span>≤ 15
</span><span>    +4x          +4x               -3y    -3y

     3y </span>≤ 4x + 15         -4x <span>≤ -3y + 15
</span><span>     ---     ---------          ----   ------------
      3          3               -4         -4

      y </span>≤ 4/3x + 5          x <span>≥ 3/4y + 11



2)  -6x - 4y </span>< 12         -6x - 4y < 12<span>
     +6x          +6x             +4y    +4y

     -4y </span>< 6x +12         -6x <  4y + 12<span>
     ----    ----------        ----     -----------
      -4        -4              -6          -6

        y </span>> -3/2 - 3            x > -2/3y - 2
8 0
3 years ago
What is the range of y = log Subscript 8 Baseline x?
jeka94

The range of y =\log_8(x) is the set of all real values

<h3>How to determine the range?</h3>

The function is given as:

y =\log_8(x)

The above function is a parent logarithmic function.

The parent logarithmic function have a range of the set of all real values

Hence, the range of y =\log_8(x) is the set of all real values

Read more about range at:

brainly.com/question/10197594

#SPJ1

5 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
suter [353]

Answer:

\sqrt{65} is the closest to 8

Step-by-step explanation:

\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87

4 0
2 years ago
2x + 3y = 13<br> y = 3x + 8
kumpel [21]

Step-by-step explanation:

2x+3(3x+8)=13 y=3x+8

2x+9x+24=13 y=3(-1)+8

11x+24=13 y= -3+8 =8-3

11x=13-24 y=5

11x/11= -11/11

x= -1

6 0
2 years ago
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