HELP! HELP! HELP! A function and its inverse are shown on the graph. Which answer pairs a possible domain restriction for f(x) a
nd its corresponding impact on f1(x)?
A. f(x) domain: x ≥ 1
f–1(x) domain: x ≥ 1
B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1
C. f(x) domain: x ≤ –2
f–1(x) domain: x ≤ –2
D. f(x) domain: x ≤ –2
f–1(x) range: y ≤ –2
A. f(x) domain: x ≥ 1
f–1(x) domain: x ≥ 1
B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1
C. f(x) domain: x ≤ –2
f–1(x) domain: x ≤ –2
D. f(x) domain: x ≤ –2
f–1(x) range: y ≤ –2
2 answers:
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Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
(Alternate interior angle)
(Alternate interior angle) ...(i)
The value of angle d is
Using (i), we get
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
Now,
Therefore, the value of x is 70.
