The inverse of the function given will be:
f(x)=(x-7)^(1/3)
to get the inverse we make x the subject
let f(x)=y=(x-7)^(1/3)
y=(x-7)^(1/3)
getting the cube of both sides we have:
y³=[(x-7)^(1/3)]³
y³=x-7
thus
x=y³+7
next we replace y by x and x with f^-1(x)
thus the inverse will be:
f^-1(x)=x³+7
Answer:
c.
Step-by-step explanation:
The values would be F(x)=-8
Answer:
0<x<16
Step-by-step explanation:
Answer: Rita and Tina's total weekly wages can be represented as 11r + 32 + 11t or 11( r + t ) + 32
Step-by-step explanation:
Since, For Rita,
Charges per hour = $ 11
Working time = r hours,
Overtime charges for a week = $ 32,
Thus, her weekly charges = 11 r + 32
Now, For Tina,
Charges per hour = $ 11
Working time = t hours,
Thus, her weekly charges = 11 t
Hence, the combined weekly wages of both Rita and Tina = 11 r + 32 + 11 t
= 11( r + t ) + 32
Which is the required expression.
