Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=x+ab
c
g(x)=cx−d

The inverse of a linear function is always a linear function

The values of a, b, c and d could be 2, 3, 1 and 6

The functions are given as:

Assume that a = 2, and b = 3.

So, function f(x) becomes

Represent f(x) with y

Swap the positions of x and y

Make y the subject

Express y as an inverse function

From the question, we understand that g(x) is an inverse function of f(x).

So, the function g(x) becomes

By comparing and

and

Hence, the values of a, b, c and d could be 2, 3, 1 and 6

Read more about functions and inverses at:

link

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.