Chapter 2: Q62. (page 67)

62. Which function is linear
$(A) f (x) = x^{2}$
$(B) g (x) = 2.7$
$(C) g (x) = \sqrt{x - 1}$
$(D) f (x) = \sqrt{9 - x^{2}}$

Short Answer

Expert verified

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

Step by step solution

Step 1- Given information

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

Step 2- To find the linear function

From the given information,

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

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

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

Step 3- Conclusion

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

Hence, the correct option is (B).

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62. Which function is linear
$(A) f (x) = x^{2}$
$(B) g (x) = 2.7$
$(C) g (x) = \sqrt{x - 1}$
$(D) f (x) = \sqrt{9 - x^{2}}$

Short Answer

Step by step solution

Step 1- Given information

Step 2- To find the linear function

Step 3- Conclusion

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62. Which function is linear (A)f(x)=x2Bgx=2.7(C)g(x)=x−1(D)f(x)=9−x2

Short Answer

Step by step solution

Step 1- Given information

Step 2- To find the linear function

Step 3- Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Discrete Mathematics

Pure Maths

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

62. Which function is linear
$(A) f (x) = x^{2}$
$(B) g (x) = 2.7$
$(C) g (x) = \sqrt{x - 1}$
$(D) f (x) = \sqrt{9 - x^{2}}$