Question

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

Answer 1

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

Answer 2

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