Advanced Math practice question

Answer: 6

f(0) = 5. Set x² − 6x + 5 = 5: x² − 6x = 0, so x(x − 6) = 0, giving x = 0 or x = 6. The nonzero value is 6. (The parabola is symmetric about x = 3, so 0 and 6 give the same output.)

Common wrong answers

If you answered 1

1 is a zero of f (f(1) = 0), not a point where f equals 5.

If you answered 3

3 is the axis of symmetry, where f takes its MINIMUM (−4), not the value 5.

If you answered 5

5 is f(0) itself, an output, not the input asked for.

More Advanced Math questions

• Very hard
  The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b?
• Very hard
  What is the solution to the equation 6/(x − 2) = 3?
• Very hard
  The polynomial p(x) = x³ − 4x has how many distinct real zeros?
• Very hard
  The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of…
• Very hard
  The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a…
• Very hard
  In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…