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

c = 4.

Step-by-step 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.

c = 4

Step-by-step 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.