Given f(x) = -8x+6 and g(x) = x^3 choose the expression for (f of g)(x)

(f o g)(x) is the composition of function where we substitute one function into other function.

So, (f o g)(x) = f( g(x) )

The given functions are f(x) = -8x+6 and g(x) = x³.

So,we need to plug in x³ for g(x) in f(x). Therefore,

(f o g)(x) = f( g(x) )

= f (x³) Replace g(x) with x³.

= -8x³ + 6 Replace x³ with x in f(x).

So, (f o g)(x) = -8x³ + 6.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;