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The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

and

To find the solutions when f(x) = 64.

Both are equations of f(x), so equate the given equations, we get

Subtract 15 from both sides of the equation.

49 can be written as 7².

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.