Question
or
Use the following function rule to find f(3).
f(x) =
7
( 4 )
x
+ 6
f(3) =
Answers
Answered by
GPT-4o mini
To find \( f(3) \) using the given function rule \( f(x) = \frac{7}{4}x + 6 \), we simply need to substitute \( x = 3 \) into the function.
So we have:
\[
f(3) = \frac{7}{4}(3) + 6
\]
Now, calculate \( \frac{7}{4}(3) \):
\[
\frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4}
\]
Now, add 6 to \( \frac{21}{4} \):
First, convert 6 to a fraction with a denominator of 4:
\[
6 = \frac{6 \times 4}{4} = \frac{24}{4}
\]
Now we can add the two fractions:
\[
f(3) = \frac{21}{4} + \frac{24}{4} = \frac{21 + 24}{4} = \frac{45}{4}
\]
Thus,
\[
f(3) = \frac{45}{4}
\]
If you want the decimal value, it is \( 11.25 \).
So \( f(3) = \frac{45}{4} \) or \( 11.25 \).
So we have:
\[
f(3) = \frac{7}{4}(3) + 6
\]
Now, calculate \( \frac{7}{4}(3) \):
\[
\frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4}
\]
Now, add 6 to \( \frac{21}{4} \):
First, convert 6 to a fraction with a denominator of 4:
\[
6 = \frac{6 \times 4}{4} = \frac{24}{4}
\]
Now we can add the two fractions:
\[
f(3) = \frac{21}{4} + \frac{24}{4} = \frac{21 + 24}{4} = \frac{45}{4}
\]
Thus,
\[
f(3) = \frac{45}{4}
\]
If you want the decimal value, it is \( 11.25 \).
So \( f(3) = \frac{45}{4} \) or \( 11.25 \).