Question

Write a relationship for a function whose k(x) values are 5 more than four times the principal square root of x .

k(x)= ______

Answer 1

The function k(x) where the values are 5 more than four times the principal square root of x is expressed as k(x) = 4√x + 5, combining linear and square root functions.

Step-by-step explanation:

The relationship for a function k(x) where the values of k(x) are 5 more than four times the principal square root of x can be written as:

k(x) = 4√x + 5

Here, √x represents the principal square root of x, which means that the relationship involves a composition of a linear function (multiplying by 4 and then adding 5) with the square root function. This is an example of combining a linear transformation with a square root function to create a new function.

Answer 2

`k(x)=5+4√(x)`

Step-by-step explanation:

Write a function whose k(x) values are 5 more than four times the principal square root of x.

So,

the principal square root of x
`=√(x);`

four times the principal square root of x
`=4√(x);`

5 more than four times the principal square root of x
`=5+4√(x);`

Thus,

`k(x)=5+4√(x)`