Answer :
Certainly! Let's work through the function step by step to find [tex]\( f(3) \)[/tex].
We have the function:
[tex]\[ f(x) = \left(\frac{1}{7}\right) \cdot (7^x) \][/tex]
To find [tex]\( f(3) \)[/tex], we simply substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[ f(3) = \left(\frac{1}{7}\right) \cdot (7^3) \][/tex]
Next, we calculate [tex]\( 7^3 \)[/tex]:
[tex]\[ 7^3 = 7 \times 7 \times 7 = 49 \times 7 = 343 \][/tex]
Now, plug this value back into the function:
[tex]\[ f(3) = \left(\frac{1}{7}\right) \cdot 343 \][/tex]
To simplify, divide 343 by 7:
[tex]\[ \frac{343}{7} = 49 \][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
So, the correct answer is:
A. 49
We have the function:
[tex]\[ f(x) = \left(\frac{1}{7}\right) \cdot (7^x) \][/tex]
To find [tex]\( f(3) \)[/tex], we simply substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[ f(3) = \left(\frac{1}{7}\right) \cdot (7^3) \][/tex]
Next, we calculate [tex]\( 7^3 \)[/tex]:
[tex]\[ 7^3 = 7 \times 7 \times 7 = 49 \times 7 = 343 \][/tex]
Now, plug this value back into the function:
[tex]\[ f(3) = \left(\frac{1}{7}\right) \cdot 343 \][/tex]
To simplify, divide 343 by 7:
[tex]\[ \frac{343}{7} = 49 \][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
So, the correct answer is:
A. 49
