Easy Algebra Step-by-Step

200 Easy Algebra Step-by-Step

Step 2. Substitute 8 for x in the equation and evaluate.

g() 8 88 − 32 () 8

g() 8 55 + 16

Problem Find the value of the function fx()x =+^3 xx 13 + at the given x

value.

a. x= −9

b. x= 0

Solution

a. x= −9

Step 1. Check whether −9 is in the domain of the function.

Because the cube root is an odd root number, there is no restriction

on the values under the radical. The domain, then, is all real numbers,

so −9 is in the domain of f.

Step 2. Substitute −9 for x in the equation and evaluate.

f()− )=^3 ()(− + 13 +

f()− )=−^8 +^3

3

f(− 9) = −2 + 3 = 1

b. x = 0

Step 1. Check whether 0 is in the domain of the function.

Because the cube root is defi ned for all real numbers, there is no

restriction on the values under the radical. The domain, then, is all

real numbers, so 0 is in the domain of f.

Step 2. Substitute 0 for x in the equation and evaluate.

f() 0 3 () 0 + 131

f() 0 311 + 34