The function g is defined by g(x)=cx3, where c is a constant. Find c if the value of g(x) at x=0.5 is equal to 1
Mathematics
lalidelapa
Question
The function g is defined by g(x)=cx3, where c is a constant. Find c if the value of g(x) at x=0.5 is equal to 1
2 Answer

1. User Answers joy123333
Answer:
c = 4
Stepbystep explanation:
In g(x)=cx3 when x is set to 0.5 , g(x)= 1.
We can solve for "c" when it is the only variable in the equation.
Substitute x for 0.5 and g(x) for 1. Isolate "c" to solve by doing reverse operations.
g(x) = cx  3
g(0.5) = 0.5c  3 Substitute x=0.5
1 = 0.5c  3 Substitute g(0.5) = 1
1 + 3 = 0.5c  3 + 3 Add 3 to both sides to start isolating c
2 = 0.5c
2/0.5 = 0.5c/0.5 Divide both sides by 0.5 to isolate c
4 = c Value of c
c = 4 Standard formatting puts the variable on the left side
Therefore the value of c if g(0.5)=1 is 4.

2. User Answers PollyP52
Answer:
c = 4.
Stepbystep explanation:
Substitute the given values x = 0.5 and g(x) = 1:
1 = c(0.5)  3
0.5c = 1 + 3 = 2
c = 2/0.5
c = 4.