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Crazy boy [7]
3 years ago
11

What is the inverse of the function G(X)=-2(x-4)

Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0

Answer :)

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+8 f - 1 ( x ) = 4 x + 8 is the inverse of f(x)=x4−2 f ( x ) = x 4 - 2

qaws [65]3 years ago
8 0

Answer:

Step-by-step explanation:

g

(

x

)

=

−

2

(

x

−

4

)

Replace  

g

(

x

)

with  

y

.

y

=

−

2

(

x

−

4

)

Interchange the variables.

x

=

−

2

(

y

−

4

)

Solve for  

y

.

y

=

−

x

2

+

4

Solve for  

y

and replace with  

g

−

1

(

x

)

.

g

−

1

(

x

)

=

−

x

2

+

4g

(

x

)

=

−

2

(

x

−

4

)

Replace  

g

(

x

)

with  

y

.

y

=

−

2

(

x

−

4

)

Interchange the variables.

x

=

−

2

(

y

−

4

)

Solve for  

y

.

Tap for more steps...

y

=

−

x

2

+

4

Solve for  

y

and replace with  

g

−

1

(

x

)

.

g

−

1

(

x

)

=

−

x

2

+

4

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andreyandreev [35.5K]

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Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)
anzhelika [568]

Answer:

(x+4)^2+(y-8)^2=85

Step-by-step explanation:

The standard equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

(x-(-4))^2+(y-8)^2=r^2\\

Simplify:

(x+4)^2+(y-8)^2=r^2

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

(-2+4)^2+(-1-8)^2=r^2

Evaluate:

(2)^2+(-9)^2=r^2

Square:

4+81=r^2

Add:

r^2=85

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

(x+4)^2+(y-8)^2=r^2

Substituting 85 for r squared, we get:

(x+4)^2+(y-8)^2=85

And we have our equation.

8 0
2 years ago
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