Let’s solve each problem one by one. We’ll plug in the given values or solve for the unknowns step by step.
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1. f(t) = t – 2; Find f(9)
We replace every “t” with 9:
f(9) = 9 – 2
f(9) = 7
Point: (9, 7)
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2. h(n) = n + 5; Find h(8)
Replace “n” with 8:
h(8) = 8 + 5
h(8) = 13
Point: (8, 13)
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3. g(x) = x² – 3; Find g(-7)
Replace “x” with -7:
g(-7) = (-7)² – 3
g(-7) = 49 – 3
g(-7) = 46
Point: (-7, 46)
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4. f(x) = 4x + 3; Find f(9)
Replace “x” with 9:
f(9) = 4×9 + 3
f(9) = 36 + 3
f(9) = 39
Point: (9, 39)
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5. f(x) = 3x; Find x if f(x) = –15
Set the function equal to -15:
3x = -15
Divide both sides by 3:
x = -5
Point: (-5, -15)
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6. h(t) = t + 4; Find t if h(t) = 13
Set the function equal to 13:
t + 4 = 13
Subtract 4 from both sides:
t = 9
Point: (9, 13)
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7. k(x) = 4x – 1; Find x if k(x) = 31
Set the function equal to 31:
4x – 1 = 31
Add 1 to both sides:
4x = 32
Divide by 4:
x = 8
Point: (8, 31)
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8. p(n) = 3n + 1; Find n if p(n) = –14
Set the function equal to -14:
3n + 1 = -14
Subtract 1 from both sides:
3n = -15
Divide by 3:
n = -5
Point: (-5, -14)
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Final Answer:
1. f(9) = 7 → Point: (9, 7)
2. h(8) = 13 → Point: (8, 13)
3. g(-7) = 46 → Point: (-7, 46)
4. f(9) = 39 → Point: (9, 39)
5. x = -5 → Point: (-5, -15)
6. t = 9 → Point: (9, 13)
7. x = 8 → Point: (8, 31)
8. n = -5 → Point: (-5, -14)
Parent Tip: Review the logic above to help your child master the concept of function practice worksheet.
