Multiple choice

g(x) = 2x2 – 2 If for the quadratic function above, g(a) = 70, what is one possible value of a?

  1. -8

  2. -6

  3. 18

  4. 35
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given g(x) = 2x^2 - 2 and g(a) = 70, we solve 2a^2 - 2 = 70. This simplifies to 2a^2 = 72, so a^2 = 36, which means a = 6 or a = -6.

AI explanation

Substitute a for x in the function definition to get the equation 2a^2 - 2 = 70. Adding 2 to both sides gives 2a^2 = 72, and dividing by 2 gives a^2 = 36. Taking the square root yields a = 6 or a = -6, making -6 one possible value.

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