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Q62.

Expert-verifiedFound in: Page 67

Book edition
Middle English Edition

Author(s)
Carter

Pages
804 pages

ISBN
9780079039903

**62. Which function is linear**

$\left(A\right)f\left(x\right)={x}^{2}$

$\left(B\right)g\left(x\right)=2.7$

$\left(C\right)g\left(x\right)=\sqrt{x-1}$

$\left(D\right)f\left(x\right)=\sqrt{9-{x}^{2}}$

The function $g\left(x\right)=2.7$is a linear function

Some functions $f\left(x\right)={x}^{2},g\left(x\right)=\sqrt{x-1},f\left(x\right)=\sqrt{9-{x}^{2}}\text{and}g\left(x\right)=2.7$

From the given information,

The function $f\left(x\right)={x}^{2}$ is not a linear function because its degree is 2.

$g\left(x\right)=\sqrt{x-1},f\left(x\right)=\sqrt{9-{x}^{2}}\text{}$ both are not a linear function because can not write in the standard form of the linear equation.

The function $g\left(x\right)=2.7$is a linear function because we can write this in standard form of a linear function

Therefore, the function $g\left(x\right)=2.7$is a linear function.

Hence, the correct option is (B).

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