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Solve the following:

1. If [tex]f(x)=x^2+9x-6[/tex], calculate the values of [tex]f(0)[/tex], [tex]f(1)[/tex], and [tex]f(3)[/tex].


Sagot :

Certainly! Let's work through the given problem step by step and find the values for the function \( f(x) = x^2 + 9x - 6 \) at specific points:

### Step-by-Step Solution:

1. Define the function:
[tex]\[ f(x) = x^2 + 9x - 6 \][/tex]

2. Calculate \( f(0) \):
Substitute \( x = 0 \) into the function:
[tex]\[ f(0) = 0^2 + 9 \times 0 - 6 = -6 \][/tex]

3. Calculate \( f(1) \):
Substitute \( x = 1 \) into the function:
[tex]\[ f(1) = 1^2 + 9 \times 1 - 6 = 1 + 9 - 6 = 4 \][/tex]

4. Calculate \( f(3) \):
Substitute \( x = 3 \) into the function:
[tex]\[ f(3) = 3^2 + 9 \times 3 - 6 = 9 + 27 - 6 = 30 \][/tex]

So, we have the following values:
[tex]\[ f(0) = -6, \quad f(1) = 4, \quad f(3) = 30 \][/tex]

These calculations give us the values of the function [tex]\( f(x) \)[/tex] at [tex]\( x = 0 \)[/tex], [tex]\( x = 1 \)[/tex], and [tex]\( x = 3 \)[/tex].
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