Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2

Sagot :

MrRoyal

Answer:

[tex]h(x)= 9x - 18[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Required

The inverse

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Replace f(x) with y

[tex]y = \frac{1}{9}x + 2[/tex]

Swap x and y

[tex]x = \frac{1}{9}y + 2[/tex]

Subtract 2

[tex]x - 2= \frac{1}{9}y[/tex]

Multiply 9

[tex]9x - 18 = y[/tex]

Rewrite as:

[tex]y = 9x - 18[/tex]

So:

[tex]h(x)= 9x - 18[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.