What is the inverse of the function f(x) = 2x + 1? h(x) =1/2x – 1/2 h(x) = 1/2x + 1/2 h(x) = 1/2x – 2 h(x) = 1/2x + 2

Step-by-step explanation:

f(x)= 2x + 1

To find inverse , first replace f(x) by y

y = 2x + 1

Replace x with y and y with x

x = 2y + 1

Now we solve for y

x = 2y + 1

subtract 1 on both sides

x - 1 = 2y

now divide both sides by 2

divide each term by 2

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )