Advanced MathEasy–MediumCoefficient of an exponential from one value
Advanced Math practice question
The function g is defined by g(x) = c · 3ˣ for a constant c, and g(2) = 45. What is the value of c?
Answer: 5
g(2) = c · 9 = 45, so c = 5.
Common wrong answers
- If you answered 9
- 9 is 3²; c is 45 divided by it.
- If you answered 15
- Divide 45 by 3² = 9, not by 3.
- If you answered 405
- c multiplies 9 to give 45 — divide rather than multiply.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.