Question

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

Answer 1

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:

`\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}`

Answer: h(3x) = 27x²-4