Final answer:
The value of 4x^0 + (4x)^-1 when x = 4 is 41/16. The correct answer is D) 4/5.
Step-by-step explanation:
To find the value of the expression 4x^0 + (4x)^-1 when x = 4, we need to substitute the value of x into the expression. Since any number raised to the power of 0 is always 1, 4x^0 becomes 4(1) = 4. Similarly, (4x)^-1 can be written as 1/(4x). Substituting x = 4, we get 1/(4*4) = 1/16. Therefore, the expression simplifies to 4 + 1/16. Adding these two fractions together, we find that the value is 65/16 which is equivalent to the mixed number 41/16. Therefore, the correct answer is D) 4/5.
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