ManviD560843 ManviD560843
  • 03-11-2022
  • Mathematics
contestada

The function h is defined by h (x)=3x² - 4.Find h (3x).

The function h is defined by h x3x 4Find h 3x class=

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ShellyH399680 ShellyH399680
  • 03-11-2022

When we have a function f(x) we can evaluate it for different arguments (the value of x) by replacing the argument in the definition of the function.

In this case, we know h(x) and we have to express h(3x). To do this, we replace x in the original function with 3x:

[tex]\begin{gathered} h(x)=3x^2-4 \\ h(3x)=3(3x)^2-4=3\cdot(3^2x^2)-4=3\cdot9x^2-4=27x^2-4 \end{gathered}[/tex]

Answer: h(3x) = 27x²-4

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