Question

Let f(x)=1/2x-3. Suppose you subtract 6 from the input of f to create a new function​ g, and then multiply the input of function g by 4 to create a function h. What equation represents​ h?

The equation for h is h(x)=?

PLZZZZ!! I NEED HELP ASAP!!!!

Answer 1

Function h is obtained by first subtracting 6 from the input of f(x), to create function g, and then multiplying the input of g by 4 to create function h. The final equation is h(x) = 2x - 6.

Step-by-step explanation:

To find the equation that represents function h, we will first create function g by subtracting 6 from the input of f(x). The original function f(x) is given by f(x) = 1/2x - 3.

Let's define function g(x):
g(x) = f(x - 6) = 1/2(x - 6) - 3 = 1/2x - 3 - 1/2(6) = 1/2x - 6

Now, we create function h by multiplying the input of function g by 4:
h(x) = g(4 * x) = 1/2(4x) - 6 = 2x - 6

Therefore, the equation for function h is h(x) = 2x - 6.

Answer 2

Answer: h(x)=2x-6

hope this helped