Determine the equation of the inverse of y= ex+3.4

x

=

e

y

+

3

−

4

Step-by-step explanation:

Algebra Examples

Popular Problems Algebra Find the Inverse y=e^(x+3)-4

y

=

e

x

+

3

−

4

Interchange the variables.

x

=

e

y

+

3

−

4

Solve for

y

.

Tap for fewer steps...

Since

y

is on the right side of the equation, switch the sides so it is on the left side of the equation.

e

y

+

3

−

4

=

x

Add

4

to both sides of the equation.

e

y

+

3

=

x

+

4

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

e

y

+

3

)

=

ln

(

x

+

4

)

Use logarithm rules to move

y

+

3

out of the exponent.

(

y

+

3

)

ln

(

e

)

=

ln

(

x

+

4

)

The natural logarithm of

e

is

1

.

(

y

+

3

)

⋅

1

=

ln

(

x

+

4

)

Multiply

y

+

3

by

1

.

y

+

3

=

ln

(

x

+

4

)

Subtract

3

from both sides of the equation.

i dont get the question

step-by-step explanation:

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day