Evaluating and Interpreting Function Notation

To find the value of

x

that will make the function equal to

7,

we will substitute

7

for

g (x)

in the given function rule. Then we can solve for

x .

g (x) = - 3 x - 8

g (x) = 7

7 = - 3 x - 8

LHS + 8 = RHS + 8

15 = - 3 x

LHS / - 3 = RHS / - 3

- 5 = x

RearrangeEqnRearrange equation

x = - 5

When

x = - 5,

the function equals

7 .

Evaluating and Interpreting Function Notation 1.9 - Solution