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3 years ago

Help me with quistion 1 and 2

Mathematics

2 answers:

mart [117]3 years ago

6 0

Answer:

1.B

first picture is x greater than or equal to 4

second picture is x less than or equal to 4

then x>4 is a open circle and a line to the right

then x<4 to the left

Step-by-step explanation:

Anit [1.1K]3 years ago

4 0

The answer to number 1 is B

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Is this an inequality or equation?

romanna [79]

Answer:

Equation

Step-by-step explanation:

A statement that the values of two mathematical expressions are equal (indicated by the sign =).

^^ This is the definition of equation

Difference in size, degree, circumstances, etc.; lack of equality.

^^ This is the definition for Inequality

The question moves more toward equation than inequality.

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Mumz [18]

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3 years ago

Let f(x) = x+2/x+6 <br> f^-1(-6) =

GREYUIT [131]

We can explicitly find the inverse. If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x$

Solve for the inverse :

$\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x$

$\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x$

$1 - \dfrac4{f^{-1}(x) + 6} = x$

$1 - x = \dfrac4{f^{-1}(x) + 6}$

$f^{-1}(x) + 6 = \dfrac4{1-x}$

$\implies f^{-1}(x) = \dfrac4{1-x} - 6$

Then when x = -6, we have

$f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}$

Alternatively, we can first solve for x such that $f(x) = -6$ . Then taking the inverse of both sides, $x = f^{-1}(-6)$ . (The difference in this method is that we don't compute the inverse for all x.)

We have

$\dfrac{x+2}{x+6} = -6$

$x + 2 = -6 (x + 6)$

$x + 2 = -6x - 36$

$7x = -38$

$\implies x = \boxed{-\dfrac{38}7}$

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3 years ago

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d1i1m1o1n [39]

Answer:

Step-by-step explanation:

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