3 years ago

121÷87 What is the answer

Mathematics

1 answer:

slava [35]3 years ago

4 0

1.3908 is the answer

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If g(x)=4x-6 then g^-1(x)=?<br> (1) -4x+6<br> (2)-1/4x+1/6<br> (3)1/4x+3/2<br> (4)1/4x+6

kati45 [8]

Given:

$g(x)=4x-6$

To find:

The function $g^{-1}(x)$ .

Solution:

we have,

$g(x)=4x-6$

Put g(x)=y.

$y=4x-6$

Interchange x and y.

$x=4y-6$

Isolate y.

$x+6=4y$

$\dfrac{x+6}{4}=y$

$y=\dfrac{x+6}{4}$

Substitute $y=g^{-1}(x)$ .

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

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

$g^{-1}(x)=\dfrac{x}{4}+\dfrac{3}{2}$

Therefore, the correct option is (3).

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3 years ago

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What is the equation of circle A centered at the origin with radius 6?

Papessa [141]

Answer:

So, if the center is (0,0) and the radius is 6, an equation of the circle is: (x-0)2 + (y-0)2 = 62.

Step-by-step explanation:

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The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/

photoshop1234 [79]

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

$C=2\pi r$ ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8$

So, the value of r is 8. Hence, the correct option is (b).

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