Question

Can someone help me find the value of g(5) in g(x) = 42 · (1/3)ˣ

Answer 1

To find g(5) for g(x) = 42 · (1/3)ˣ, substitute 5 into the equation, calculating (1/3)⁵ as 1/243, and then multiply 42 by 1/243 to get 42/243, which simplifies to 14/81.

Step-by-step explanation:

To find the value of g(5) for the function g(x) = 42 \u00b7 (1/3)ˣ, you need to substitute the value of x with 5. Substitute 5 for x in the equation:

g(5) = 42 \u00b7 (1/3)⁵

Next, you calculate the value of (1/3)⁵. Since raising a number to a power means multiplying that number by itself as many times as the exponent indicates, (1/3)⁵ is equal to 1/3 \u00d7 1/3 \u00d7 1/3 \u00d7 1/3 \u00d7 1/3, which simplifies to 1/243.

Now, multiply 42 by 1/243 to get:

g(5) = 42 \u00d7 (1/243) = 42/243

Finally, simplify the fraction:

g(5) = 42/243 = 14/81

Hence, g(5) is 14/81.

Answer 2

To find the value of g(5) in g(x) = 42 · (1/3)ˣ, substitute x with 5 and simplify the expression. The value of g(5) is 0.17284.

Step-by-step explanation:

To find the value of g(5) in g(x) = 42 · (1/3)ˣ, we substitute x with 5:

g(5) = 42 · (1/3)⁵

Next, we simplify the expression:

g(5) = 42 · 1/243

Finally, we calculate the value:

g(5) = 42/243

Therefore, the value of g(5) is 0.17284.