Question

Use the function rule to find f(−12)


f(x)=1+x2


f(−12)=
Question 2
Use the function rule to find f(3)


f(x)=6x+12


f(3)=

Answer 1

To find \( f(-12) \) using the function rule \( f(x) = 1 + x^2 \):

1. Substitute \(-12\) into the function:
\[
f(-12) = 1 + (-12)^2
\]
2. Calculate \((-12)^2\):
\[
(-12)^2 = 144
\]
3. Add 1:
\[
f(-12) = 1 + 144 = 145
\]

So, \( f(-12) = 145 \).

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For the second question, to find \( f(3) \) using the function rule \( f(x) = 6x + 12 \):

1. Substitute \(3\) into the function:
\[
f(3) = 6(3) + 12
\]
2. Calculate \(6(3)\):
\[
6(3) = 18
\]
3. Add 12:
\[
f(3) = 18 + 12 = 30
\]

So, \( f(3) = 30 \).

In summary:
- \( f(-12) = 145 \)
- \( f(3) = 30 \)