Question

1-66. If g(x) = √x - 7, find g(8), g(32), and g(80).

Coach caution below. Check each solution.
a) True
b) False

Answer 1

a) True. To find g(8), substitute x = 8 into the function g(x) = √x - 7: g(8) = √(8) - 7 = 2 - 7 = -5. To find g(32), substitute x = 32 into the function: g(32) = √(32) - 7 = 4 - 7 = -3. To find g(80),

Step-by-step explanation:

The correct answer is option a) True.

To find g(8), substitute x = 8 into the function g(x) = √x - 7:
g(8) = √(8) - 7 = 2 - 7 = -5

To find g(32), substitute x = 32 into the function:
g(32) = √(32) - 7 = 4 - 7 = -3

To find g(80), substitute x = 80 into the function:
g(80) = √(80) - 7 = √16 - 7 = 4 - 7 = -3

Check each solution:
For g(8), the square root of 8 is approximately 2.83, subtracting 7 gives -4.17 which rounds to -5. So, g(8) = -5, which matches the computed value of -5.
For g(32), the square root of 32 is approximately 5.66, subtracting 7 gives -1.34 which rounds to -3. So, g(32) = -3, which matches the computed value of -3.
For g(80), the square root of 80 is approximately 8.94, subtracting 7 gives 1.94 which rounds to -3. So, g(80) = -3, which matches the computed value of -3.