If the function h(x) Is defined as vertical stretch by a factor of 2 followed by a reflection in the X-axis of the function F(x) then h(x)=

A)2f(-x)

B) 1/2 f(x)

C) -1/2 f(x)

D) -2f(x)

The function () after the vertical stretched by a factor of two and followed by a reflection in the X- axis will be,

Now the reflection arise along the X- axis. Thus the above function will reflect and the value of it will become,

Rewrite the equation,

Hence the function () after the vertical stretched by a factor of two and followed by a reflection in the X- axis will be,

For more about the stretch factor follow the link below-

link

C) -1/2 f(x)

Step-by-step explanation:

vertical stretch by a factor of 2 means that the stretch occured at Y - axis.

Then h(x) will transform to 2h(x)

It followed by a reflection in the X-axis of the function F(x) 

Then 2h(x) will transform to - 2h(x)

Where F(x) = - 2h(x)

Make h(x) the subject of the formula

h(x) = - 1/2f(x)

C is the correct answer

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.