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1 of 8 0-day streak

Investigate functional equations

QUESTION TYPEMix of allChange
additive-input, linear, direct values, satisfiedadditive-input, linear, direct values, not satisfiedadditive-input, linear, missing constant, satisfiedadditive-input, linear, missing constant, not satisfiedadditive-input, reciprocal, direct values, satisfiedadditive-input, reciprocal, direct values, not satisfiedadditive-input, reciprocal, missing constant, satisfiedadditive-input, reciprocal, missing constant, not satisfiedadditive-input, square-reciprocal, direct values, satisfiedadditive-input, square-reciprocal, direct values, not satisfiedadditive-input, square-reciprocal, missing constant, satisfiedadditive-input, square-reciprocal, missing constant, not satisfiedadditive-input, cubic, direct values, satisfiedadditive-input, cubic, direct values, not satisfiedadditive-input, cubic, missing constant, satisfiedadditive-input, cubic, missing constant, not satisfiedproduct-input, linear, direct values, satisfiedproduct-input, linear, direct values, not satisfiedproduct-input, linear, missing constant, satisfiedproduct-input, linear, missing constant, not satisfiedproduct-input, reciprocal, direct values, satisfiedproduct-input, reciprocal, direct values, not satisfiedproduct-input, reciprocal, missing constant, satisfiedproduct-input, reciprocal, missing constant, not satisfiedproduct-input, square-reciprocal, direct values, satisfiedproduct-input, square-reciprocal, direct values, not satisfiedproduct-input, square-reciprocal, missing constant, satisfiedproduct-input, square-reciprocal, missing constant, not satisfiedproduct-input, cubic, direct values, satisfiedproduct-input, cubic, direct values, not satisfiedproduct-input, cubic, missing constant, satisfiedproduct-input, cubic, missing constant, not satisfiedquotient-input, linear, direct values, satisfiedquotient-input, linear, direct values, not satisfiedquotient-input, linear, missing constant, satisfiedquotient-input, linear, missing constant, not satisfiedquotient-input, reciprocal, direct values, satisfiedquotient-input, reciprocal, direct values, not satisfiedquotient-input, reciprocal, missing constant, satisfiedquotient-input, reciprocal, missing constant, not satisfiedquotient-input, square-reciprocal, direct values, satisfiedquotient-input, square-reciprocal, direct values, not satisfiedquotient-input, square-reciprocal, missing constant, satisfiedquotient-input, square-reciprocal, missing constant, not satisfiedquotient-input, cubic, direct values, satisfiedquotient-input, cubic, direct values, not satisfiedquotient-input, cubic, missing constant, satisfiedquotient-input, cubic, missing constant, not satisfiedcombined, linear, direct values, satisfiedcombined, linear, direct values, not satisfiedcombined, linear, missing constant, satisfiedcombined, linear, missing constant, not satisfiedcombined, reciprocal, direct values, satisfiedcombined, reciprocal, direct values, not satisfiedcombined, reciprocal, missing constant, satisfiedcombined, reciprocal, missing constant, not satisfiedcombined, square-reciprocal, direct values, satisfiedcombined, square-reciprocal, direct values, not satisfiedcombined, square-reciprocal, missing constant, satisfiedcombined, square-reciprocal, missing constant, not satisfiedcombined, cubic, direct values, satisfiedcombined, cubic, direct values, not satisfiedcombined, cubic, missing constant, satisfiedcombined, cubic, missing constant, not satisfiedNOWMix of allRecommended
Question 1 of 8

No calculator

Substitute the displayed values into both sides of the relation

\[q(t)=-t - 1\]

Use the exact values

\[x=-2,\qquad y=-2\]

and substitute them into the displayed relation

\[q\left(\frac{x}{y}\right) = \frac{q\left(x\right)}{q\left(y\right)} - 3\]
(a)1 mark

Does the displayed relation hold after exact substitution? Select the statement with the correct verdict and reason

(b)2 marks

Fill the exact simplified values of the two sides