The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
The table represents a logarithmic function.
The domain represents the set of x values.
From the table, we can see that all the x values are positive values i.e. x > 0
Hence, the domain of the function is x > 0
<h3>How to determine the range?</h3>
From the table, the table outputs all zero, positive and negative numbers
This means that the range is the set of all real numbers.
Hence, the range of the function is -∞ < f(x) < ∞
Read more about domain and range at:
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I believe there is no such AP...
Recursively, this sequence is supposed to be given by
so that
has to be an integer, which means there are 4 possible cases.
Case 1: and . But
Case 2: and . But
Case 3: and . But
Case 4: and . But
Answer:
f(x) and g(x) are inverse functions
Step-by-step explanation:
In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then
f(x) and g(x) are inverse functions
Let us use this rule to solve the question
∵ f(x) = 3x²
∵ g(x) =
→ Find f(g(x)) by substitute x in f(x) by g(x)
∴ f(g(x)) = 3()²
→ Cancel the square root with power 2
∴ f(g(x)) = 3()
→ Cancel the 3 up with the 3 down
∴ f(g(x)) = x
→ Find g(f(x)) by substitute x in g(x) by f(x)
∴ g(f(x)) =
→ Cancel the 3 up with the 3 down
∴ g(f(x)) =
→ Cancel the square root with power 2
∴ g(f(x)) = x
∵ f(g(x)) = g(f(x)) = x
→ By using the rule above
∴ f(x) and g(x) are inverse functions
If you are talking about what is in between the two sets of parentheses then the answer would be multiplication hope that helped
Answer:
7.416198
Step-by-step explanation:
You must find out which number produces 55 when multiplied by itself