mommysgirlnevaeh
mommysgirlnevaeh mommysgirlnevaeh
  • 21-12-2020
  • Mathematics
contestada

Write a function formula for g using the function f.
g(x)=

Write a function formula for f using the function g.
f(x)=


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Write a function formula for g using the function fgxWrite a function formula for f using the function gfx class=

Respuesta :

elcharly64
elcharly64 elcharly64
  • 21-12-2020

Answer:

g(x) = -f(x+3)

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

Step-by-step explanation:

Transformations

Function f can be obtained by knowing function g and vice-versa.

Suppose we know the expression of function f. If we reflect f across the x-axis, we get function g but displaced 3 units to the right.

Thus, we only have to translate the reflected f 3 units to the left:

g(x) = -f(x+3)

Similarly, if g(x) is reflected across the x-axis and translated by 3 units to the right, we get f(x), thus:

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

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