Question

Given linear function g(x) = 5 - 2/3 x

a) find g(9)
AND
b) solve g(x)=7 for x

Answer 1

For part a, we need to substitute 9 for x.

g(x) = 5 - 2/3(9). Simplify the right side of the equation.

g(x) = 5 - 6.

g(x) = -1

For part b, we need to solve for x by substituting 7 for g(x).

7 = 5 - 2/3x. Subtract 5 from both sides.

2 = -2/3x. Divide each side by -2/3.

-3 = x