Answer :

The value of h(5x) is 25x² - 1 given that the function h is defined by h(x) = x² - 1. This can be obtained by simply substituting the value 5x in the place of x in the function h(x).

Find the value of h(5x):

A function takes an input and produces an output.

It is represented by notation f(x)

For example, f(x) = 2x²

f is the name of the function, x is the input of the function, and 2x² is the output of the function.

Here in the question it is given that,

  • The function h is defined by h(x) = x²-1

We have to find the value of h(5x).

h(5x) is the output of h for the values 5x.

By substituting the value 5x in the place of x in the function h(x) = x² - 1.

h(5x) = (5x)² - 1

h(5x) = 25x² - 1

Hence the value of h(5x) is 25x² - 1 given that the function h is defined by h(x) = x² - 1.

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