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Expert-verified Found in: Page 67 ### Algebra 2

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

See the step by step solution

## Step 1- Given information

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

## Step 2- To find the linear function

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

## Step 3- Conclusion

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

Hence, the correct option is (B). ### Want to see more solutions like these? 