If f(x) = 5x, what is f^-1(x)

f^-1(x) = 1/5 x

Step-by-step explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: