2024 September(H11) Math Question 1
Algebraic & Function Expressions
- Solve Function Expressions
Substitute x=−2x = -2x=−2 into the function f(x)=3x3−7f(x) = 3x^3 - 7f(x)=3x3−7:
f(−2)=3(−2)3−7f(-2) = 3(-2)^3 - 7f(−2)=3(−2)3−7
Evaluate (−2)3(-2)^3(−2)3:
(−2)3=−8(-2)^3 = -8(−2)3=−8
Multiply by 333:
3×(−8)=−243 \times (-8) = -243×(−8)=−24
Subtract 777:
f(−2)=−24−7=−31f(-2) = -24 - 7 = -31f(−2)=−24−7=−31
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