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CaHeK987 [17]
3 years ago
11

1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0
<h3>Answers:</h3><h3>f(4) = 12</h3><h3>f(5) = 13</h3>

=======================================================

Explanation:

This is a piecewise function as it is composed of two pieces.

The equation for f(x) depends on what x is. Specifically whether it is even or odd.

If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2

------------

f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4

f(x) = x^2 - 4

f(4) = 4^2 - 4

f(4) = 16 - 4

f(4) = 12

------------

When x = 5, x is now odd, so use f(x) = 3x-2

f(x) = 3x-2

f(5) = 3(5) - 2

f(5) = 15 - 2

f(5) = 13

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