Answer:
a vertical shift of f, c units down
Step-by-step explanation:
Given:
- A function h(x) is defined as:
h(x) = f(x) − c
Find:
- The effect of "c" on the f(x) function.
Solution:
- The effect of adding or subtracting any constant to or from a given function f(x) shifts the f(x) value for all values of x by an amount "c"
- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.
- In the case given we see that "c" units have been subtracted from original f(x).
- Meaning, all f(x) values have decreased for every value of x. This can be categorized as vertical shift of f(x) with "c" units down.
Step-by-step explanation:
given f(x) = 2/x and g(x) = 2/x
f(g(x)) = 2/(g(x)) = 2/2/x = x/2 × 2 = x
g(f(x)) = 2/(f(x)) = 2/2/x = x/2 × 2 = x
therefore they are inverses
since f(g(x)) = g(f(x)) = x.
Answer:
you didn't attach a picture
Draw out and you'll see if make a triangle. Use Pythagorean theorem
you are given c and the other side
So,
c2 = a2 + b2
20^2 = 12^2 + b2
400 = 144 +b2
256 = b2
b = 16
Hope this helps