Question

Math Tutorial:Select the correct answer.Find the inverse of function ſ.f(x) = 9x + 7

Answer 1

Given the function:

f(x) = 9x + 7

Let's find the inverse of the function.

To find the inverse of the function interchange variables and solve for y.

Take the following steps:

• Step 1.

Rewrite f(x) as y.

y = 9x + 7

• Step 2.

Interchange the variables:

x = 9y + 7

• Step 3.

Let's solve for y.

Subtract 7 from both sides

x - 7 = 9y + 7 - 7

x - 7 = 9y

• Step 4.

Divide all terms by 9:

`\begin{gathered} (x)/(9)-(7)/(9)=(9y)/(9) \\ \\ (x)/(9)-(7)/(9)=y \\ \\ y=(x)/(9)-(7)/(9) \end{gathered}`

Therefore, the inverse of the given function is:

`f^(-1)(x)=(1)/(9)x-(7)/(9)`

ANSWER: D

`f^(-1)(x)=(1)/(9)x-(7)/(9)`