What is the domain and range of the function f(x) = 4(3 square root 81)^x?

Solution:

Given function is

f(x) = 4(3 square root 81)^x

f(x) = 4(3 √81)^x

f(x) = 4(3 × 9)^x

f(x) = 4(27)^x

Since the x is in exponent/power and the bases are positive, f(x) will always take positive values

Domain means all the input values for x and range means all the output for f(x)

Therefore, the domain and range are the set of all real numbers.

Domain = {(-∞, ∞)/x, x E R } and range = {(0, ∞)/y, y ≥ 0}

What is the domain and range of the function f(x) = 4(3 square root 81)x?

Summary:

The domain and range of the function f(x) = 4(3 square root 81)x are set of real numbers. Domain = {(-∞, ∞)/x, x E R } and range = {(0, ∞)/y, y ≥ 0}