Question

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Answer 1

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

Solution:

Given data:

`$f(x)=x^(2)+15` and
`f(x)=64`

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

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

`x^2+15=64`

Subtract 15 from both sides of the equation.

`x^2+15-15=64-15`

`x^2=49`

49 can be written as 7².

`x^2=7^2`

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.