Die skets hieronder toon die grafieke van $f(x)= ext{log}_g x$, $x$ en $g(x) = rac{2}{x-1} + 1$ - NSC Mathematics - Question 4 - 2017 - Paper 1
Question 4
Die skets hieronder toon die grafieke van $f(x)= ext{log}_g x$, $x$ en $g(x) = rac{2}{x-1} + 1$.
T en U is die $x$-afsnitte van $g$ en $f$ onderskeidelik.
- T en ... show full transcript
Worked Solution & Example Answer:Die skets hieronder toon die grafieke van $f(x)= ext{log}_g x$, $x$ en $g(x) = rac{2}{x-1} + 1$ - NSC Mathematics - Question 4 - 2017 - Paper 1
Step 1
Skryf die koördinate van U neer.
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Answer
Die koördinate van punt U is (1; 0).
Step 2
Skryf die vergelykings van die asimptote van g neer.
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Answer
Die vergelyking van die asimptote van g is x=1 en y=1.
Step 3
Bepaal die koördinate van T.
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Answer
Die koördinate van punt T is (-1; 0).
Step 4
Skryf die vergelyking van h, die refleksie van f in die lyn y = x, in die vorm y = ... neer.
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Answer
Die vergelyking van h is h(x)=extloggx, wat ook in die vorm y=x5 geskryf kan word.
Step 5
Skryf die vergelyking van die asimptoot van h(x-3) neer.
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Answer
Die vergelyking van die asimptoot van h(x−3) is y = rac{2}{x - 1} + 1.
Step 6
Bereken die koördinate van V, die punt wat simmetries tot T om die punt R is.
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