What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−
1
2
x)?

Solution:

1. The given function is

f(x) = 2 x

it is equation of line passing through origin having slope 2 and the line passes through first and third quadrant.

Domain= All Real numbers, Range = All Real Numbers

2. Now , when x is replaced by (-12 x), we get

f(-12 x)= 2 × (-12 x)

Let f(-12 x)= f(z)= -24 x

it is equation of line passing through origin having slope -24 and the line passes through second and fourth quadrant.

Domain= All Real numbers, Range = All Real Numbers

Relation between the two function i.e between 1 and 2 is

→Slope of line 2 = Slope of line 1 × (-12)

→ The function 2 i.e f(z)= -24 x shifts in left Direction.

The function 1 is dilated by factor of (-12) to get function 2.

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.

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step-by-step explanation: