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Chapter 2: Q3. (page 60)

FIND THE ERROR Teisha and Molly are finding g2afor the functiongx=x2+x-1.

Teisha Molly

g(2a)=2(a2+a鈭�1)=2a2+2a鈭�2 g(2a)=(2a)2+2a鈭�1=4a2+2a鈭�1

Who is correct? Explain your reasoning.


Short Answer

Expert verified

The solution ofMolly is correct.

Step by step solution

01

– Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

– Substitute the given value in the given function.

The given function is:

gx=x2+x-1

Substitute x=2a in the function gx.

g2a=2a2+2a-1

03

– Calculate the value by simplification.

g(2a)=(2a)2+2a鈭�1=22a2+2a鈭�1=4a2+2a鈭�1

So, Molly is correct.

In Teisha鈥檚 solution, she writes 2 outside the parenthesis and then substitutes x=a instead of substituting x=2a.

Thus,the solution ofMolly is correct.

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