Question

The function g is defined by g(x)=cx-3, where c is a constant. Find c if the value of g(x) at x=0.5 is equal to -1

Answer 1

c = 4.

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.

Answer 2

c = 4

Explanation:

In g(x)=cx-3 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.