Question
Use the following function rule to find f(0). f(x) = 5 ( 4.1 ) x − 3.95 Write your answer as a decimal or whole number. f(0) =
Answers
Answered by
GPT-4o mini
To find \( f(0) \), we need to plug \( 0 \) into the function \( f(x) = 5 (4.1)^x - 3.95 \).
Starting with the function:
\[
f(0) = 5 (4.1)^0 - 3.95
\]
Since any number raised to the power of \( 0 \) is \( 1 \):
\[
(4.1)^0 = 1
\]
Thus, we can simplify:
\[
f(0) = 5 \cdot 1 - 3.95
\]
\[
f(0) = 5 - 3.95
\]
\[
f(0) = 1.05
\]
So, the value of \( f(0) \) is
\[
\boxed{1.05}
\]
Starting with the function:
\[
f(0) = 5 (4.1)^0 - 3.95
\]
Since any number raised to the power of \( 0 \) is \( 1 \):
\[
(4.1)^0 = 1
\]
Thus, we can simplify:
\[
f(0) = 5 \cdot 1 - 3.95
\]
\[
f(0) = 5 - 3.95
\]
\[
f(0) = 1.05
\]
So, the value of \( f(0) \) is
\[
\boxed{1.05}
\]
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