Question

Find f(-2) for f(x)= 5 times 3^x

Answer 1

To find f(-2) for the function f(x)=5*3^x, we substitute -2 for x, take the reciprocal of 3^2 to deal with the negative exponent, and multiply by 5. The result is 5/9, which is approximately 0.556.

Step-by-step explanation:

To find f(-2) for the function f(x) = 5 \times 3^x, we simply substitute -2 for x in the function.

So, f(-2) = 5 \times 3^{-2}.

Remember that when we have a negative exponent, we take the reciprocal of the base raised to the positive exponent. Therefore, 3^{-2} = 1 / 3^2 = 1 / 9.

Now, we can calculate f(-2):

f(-2) = 5 / 9

And after calculating that, f(-2) = 0.555... (repeating). Thus, f(-2) simplifies to approximately 0.556 when rounded to three decimal places.

Answer 2

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × ( 1 / 3^2 )

f ( - 2 ) = 5 × ( 1 / 9 )

f ( - 2 ) = 5 / 9