Helpp pls The function f is defined by the equation
f(x) = (x - b)^2, where b is a constant. If
f(5) = f(9), what is the value of f(1) ?
A) 25
B) 36
C) 45
D) 49

B

Step-by-step explanation:

Substitute x = 5 and x = 9 into f(x) and equate

f(5) = (5 - b)² = 25 - 10b + b²

f(9) = (9 - b)² = 81 - 18b + b²

Then equating the 2 gives

b² - 10b + 25 = b² - 18b + 81 ( subtract b² - 18b from both sides )

8b + 25 = 81 ( subtract 25 from both sides )

8b = 56 ( divide both sides by 8 )

b = 7

Then

f(x) = (x - 7)² and

f(1) = (1 - 7)² = (- 6)² = 36 → B

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed