SOLUTION: ) Let 𝑓𝑥 = x+2/(x-3)^2 (a) Calculate 𝑓−1. (b) State the domain of the function 𝑓𝑥 (c) Find 𝑓𝑎+4 and simplify as much as possible.

Algebra ->  Graphs -> SOLUTION: ) Let 𝑓𝑥 = x+2/(x-3)^2 (a) Calculate 𝑓−1. (b) State the domain of the function 𝑓𝑥 (c) Find 𝑓𝑎+4 and simplify as much as possible.       Log On


   

Question 1144642: ) Let 𝑓𝑥 = x+2/(x-3)^2 (a) Calculate 𝑓−1. (b) State the domain of the function 𝑓𝑥 (c) Find 𝑓𝑎+4 and simplify as much as possible.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%F0%9D%91%93%28%F0%9D%91%A5%29+=+x%2B2%2F%28x-3%29%5E2+
f%28x%29=x%2B2%2F%28x-3%29%5E2

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(b) State the domain of the function 𝑓𝑥 (c) Find 𝑓𝑎+4 and simplify
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Domain is the the real numbers less than 3 and the real numbers greater than 3. The union of x%3C3 and x%3E3.

c=a%2B4
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a%2B4%2B2%2F%28a%2B4-3%29%5E2
a%2B4%2B2%2F%28a%2B1%29%5E2
%28a%2A%28a%2B1%29%5E2%2B4%28a%2B1%29%5E2%2B2%29%2F%28a%2B1%29%5E2
%28a%28a%5E2%2B2a%2B1%29%2B4%28a%5E2%2B2a%2B1%29%2B2%29%28a%2B1%29%5E2
%28a%5E3%2B2a%5E2%2Ba%2B4a%5E2%2B8a%2B4%2B2%29%2F%28a%2B1%29%5E2
highlight_green%28%28a%5E3%2B6a%5E2%2B9a%2B6%29%2F%28a%2B1%29%5E2%29
.