Die grafiek van $f(x) = ext{log}_ rac{3}{16} x$ is hieronder geteken - NSC Mathematics - Question 4 - 2018 - Paper 1
Question 4
Die grafiek van $f(x) = ext{log}_ rac{3}{16} x$ is hieronder geteken. $Bigg( rac{16}{9}; pigg)$ is 'n punt op $f$.
4.1 Vir wat waarde(s) van $x$ is $ ext{log}_ ... show full transcript
Worked Solution & Example Answer:Die grafiek van $f(x) = ext{log}_ rac{3}{16} x$ is hieronder geteken - NSC Mathematics - Question 4 - 2018 - Paper 1
Step 1
Vir wat waarde(s) van $x$ is $ ext{log}_ rac{3}{16} x < 0$ ?
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waarde(s) van x waarvoor ext{log}_ rac{3}{16} x < 0 is wanneer 0<x<1 of xextis(0;1).
Step 2
Bepaal die waarde van $p$, sonder die gebruik van 'n sakrekenaar.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Ons weet dat p = ext{log}_ rac{3}{16} rac{16}{9}.
= ext{log}_ rac{3}{16} ( rac{4}{3})^2
=2
Step 3
Skryf die vergelyking van die inverse van $f$ in die vorm $y = f^{-1}(x)$ neer.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die inverse f−1(x) van die funksie is gevorm deur die volgende:
y = ext{log}_ rac{3}{16} x
Daarom, om x te vind, is x = ext{log}_ rac{3}{16} y.
Dus, die inverse is y = igg( rac{4}{3} igg)^{x}.
Step 4
Skryf die waardeverzameling van $y = f^{-1}(x)$ neer.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waardeverzameling van y=f−1(x) is y>0 of yextis(0;extext∞).
Step 5
Skryf die koördinate van $B'$, die beeld van $B$ op $h$ neer.
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Na twee refleksies, die koördinate van B' = igg(- rac{2}{16}; rac{16}{9}igg).
