Answer:
f (
x
) −
1 =
(
1/
4 x
) −
2.
Step-by-step explanation:
For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:
f (
x
) = 4
x + 8
f (
x
) = y
y = 4
x + 8
x = 4
y +
8 ----- interchanging y and x
Now make y the subject of the equation:
x = 4
y + 8
−
4
y = -
x + 8
y = (
−
1/
4 )
. − x
+ (
−
1/
4 ) .8
y = (
1/
4 x
) −
2
So the inverse function is:
f (x) −
1 = (
1/
4 x
) −
2
Answer: D) csc (2π/3)
<u>Step-by-step explanation:</u>
2π/3 is in Quadrant II
Quadrant II has a negative x-value and a positive y-value.
x-values are: cos & sec
y-values are: sin & csc
tan = y/x so will be negative in Quadrant II
A) sec = -
B) tan = -
C) cos = -
D) csc = + this works!
Answer:
Domain: All real numbers
Range: 
Step-by-step explanation:
The domain is the set of all x values. The quadratic equation continue to operate over all x-values in both directions. The domain is all real numbers.
The range is the set of all y-values. Here the quadratic begins at -3 and continues in a downward direction forever. Then range is
