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Sagot :
To find the inverse of the function \( c(n) = 15n + 30 \), we need to:
1. Swap \( c \) and \( n \) in the equation.
2. Solve for \( n \) in terms of \( c \).
Here is the step-by-step process:
1. Start with the original equation:
[tex]\[ c(n) = 15n + 30 \][/tex]
2. Swap \( c \) and \( n \):
[tex]\[ c = 15n + 30 \][/tex]
3. Isolate \( n \) by first subtracting 30 from both sides:
[tex]\[ c - 30 = 15n \][/tex]
4. Divide both sides by 15 to solve for \( n \):
[tex]\[ n = \frac{c - 30}{15} \][/tex]
So, the inverse function \( n(c) \) is:
[tex]\[ n(c) = \frac{c - 30}{15} \][/tex]
Therefore, the correct equation is:
A. [tex]\( n(c) = \frac{c - 30}{15} \)[/tex]
1. Swap \( c \) and \( n \) in the equation.
2. Solve for \( n \) in terms of \( c \).
Here is the step-by-step process:
1. Start with the original equation:
[tex]\[ c(n) = 15n + 30 \][/tex]
2. Swap \( c \) and \( n \):
[tex]\[ c = 15n + 30 \][/tex]
3. Isolate \( n \) by first subtracting 30 from both sides:
[tex]\[ c - 30 = 15n \][/tex]
4. Divide both sides by 15 to solve for \( n \):
[tex]\[ n = \frac{c - 30}{15} \][/tex]
So, the inverse function \( n(c) \) is:
[tex]\[ n(c) = \frac{c - 30}{15} \][/tex]
Therefore, the correct equation is:
A. [tex]\( n(c) = \frac{c - 30}{15} \)[/tex]
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