Question

If $f\left(x\right)$ is continuous and $g\left(x\right)$ is discontinuous function, then $f\left(x\right)+g\left(x\right)$ is-

• A. continuous function
• B. Discontinuous function
• C. Constant function
• D. Identity function

Answer 1

The correct option is B Discontinuous function

$f\left(x\right)+g\left(x\right)$ is continuous if $f\left(x\right)$ and $g\left(x\right)$ both continuous.

$f\left(x\right)$ is continuous and $g\left(x\right)$ is discontinuous function, then $f\left(x\right)+g\left(x\right)$ is discontinuous function.
Hence, option B.