29.1k views
4 votes
Help me answer this question please

Help me answer this question please-example-1
User A Kunin
by
6.7k points

2 Answers

3 votes

Answer:

Explanation:

f⁻¹(x) is the inverse of f(x).

y = 4x − 9. To find the inverse, switch x and y and solve for y.

x = 4y − 9

x + 9 = 4y

y = (x + 9) / 4

So the inverse function is:

f⁻¹(x) = (x + 9) / 4

User Knight Wing
by
7.5k points
4 votes

ANSWER


{f}^( - 1)(x) = (x + 9)/(4)

EXPLANATION

The given function is

f(x)=4x-9

Let

y=4x-9

Interchange x and y.

x=4y-9

Add 9 to both sides,

x+9=4y

Divide both sides by 4


(x + 9)/(4) = y


y = (x + 9)/(4)

Therefore,


{f}^( - 1)(x) = (x + 9)/(4)

User Jcp
by
7.5k points