90.6k views
3 votes
Assume f(x)-**? Find f-1(4).1021/211I don’t think my answer is right please help me

Assume f(x)-**? Find f-1(4).1021/211I don’t think my answer is right please help me-example-1
User Crouzilles
by
3.8k points

1 Answer

3 votes

we have the function


f(x)=(x+2)/(3)

step 1

Find the inverse

Let

y=f(x)

so

y=(x+2)/3

step 2

Exchange the variables

x for y and y for x

x=(y+2)/3

step 3

Isolate the variable y

3x=y+2

y=3x-2

the inverse function is

f^-1(x)=3x-2

therefore

f^-1(4)=3(4)-2

f^-1(4)=10

User Hexception
by
4.9k points