afilippini45 afilippini45
  • 24-01-2020
  • Mathematics
contestada

Perform the indicated operation.
h(x) = 3x - 1
g(x) = 2x – 4
Find (hog)(x)

Perform the indicated operation hx 3x 1 gx 2x 4 Find hogx class=

Respuesta :

gmany
gmany gmany
  • 24-01-2020

Answer:

[tex]\large\boxed{(h\circ g)(x)=6x-16}[/tex]

Step-by-step explanation:

[tex]h(x)=3x-1\\\\g(x)=2x-4\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\\\\\text{Substitute instead of x the expression (2x - 4) to h (x):}\\\\(h\circ g)(x)=3(2x-4)-4\qquad\text{use the distributive property}\\\\(h\circ g)(x)=(3)(2x)+(3)(-4)-4\\\\(h\circ g)(x)=6x-12-4\\\\(h\circ g)(x)=6x-16[/tex]

Answer Link
treestaj
treestaj treestaj
  • 24-01-2020
h(g(x)
h(2x-4)
3(2x-4)-1
6x-12-1
6x-13=(hog)(x)
Answer Link

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