Question

Two functions are combined resulting in the function j(x) = –3x2 + 5.

Which operations applied to the specified functions could result in j(x)? Select three options.

two linear functions combined by addition
two quadratic functions combined by addition
a linear function and a quadratic function combined by addition
two linear functions combined by multiplication
two quadratic functions combined by multiplication

Answer 1

two quadratic functions combined by addition

a linear function and a quadratic function combined by addition

two linear functions combined by multiplication

Explanation:

-3x² + 5

(-4x² + 4) + (x² + 1)

-3x² + 5

(-3x² - x) + (x + 5)

-3x² + 5

(sqrt(5) - sqrt(3)x)(sqrt(5) + sqrt(3)x)