Which of the following is the graph of y=- square root x+1

The graph in the attached figure

Step-by-step explanation:

we have

Find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0 ----->

The y-intercept is the point (0,-1)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0 -----> ----->

The x-intercept is the point (-1,0)

Find the domain

we know that

The radicand must be positive

so

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

the translated point is (5,2)