The function f(x) varies inversely with x and f(x) = 4 when x = 12.
2 answers:
<h3>Answer: C. 16.</h3>
Step-by-step explanation:
We are given inverse relation between f(x) and x.
The function f(x) varies inversely with x.
Inverse relation could be written as
f(x) = .
We also given f(x) = 4 when x = 12.
Plugging f(x) = 4 and x=12 in the above inverse relation to get the value of constant k.
.
On cross multiplying, we get
12× 4 =
48 = k
Now, we need to find f(x) for x=3.
Plugging k=48 and x=3 in inverse relation, we get
.
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1) Final expression:
2) Final expression:
Step-by-step explanation:
1)
The first expression is
First, we remove the 2nd bracket by changing the sign of all the terms inside:
Now we group the terms with same degree together:
Now we solve the expression in each brackets:
So, this is the final expression.
2)
The second expression is
We apply the distributive property, so we rewrite the expression as follows:
Solving both brackets,
Now we group terms of same degree together:
And solving each bracket,
So, this is the final expression.
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