Precalculus Examples

Solve the Function Operation f(x)=x+7 g(x)=2x^2-5x-12 Find: g(f(x))
Find:
Step 1
Set up the composite result function.
Step 2
Evaluate by substituting in the value of into .
Step 3
Simplify each term.
Tap for more steps...
Step 3.1
Rewrite as .
Step 3.2
Expand using the FOIL Method.
Tap for more steps...
Step 3.2.1
Apply the distributive property.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Apply the distributive property.
Step 3.3
Simplify and combine like terms.
Tap for more steps...
Step 3.3.1
Simplify each term.
Tap for more steps...
Step 3.3.1.1
Multiply by .
Step 3.3.1.2
Move to the left of .
Step 3.3.1.3
Multiply by .
Step 3.3.2
Add and .
Step 3.4
Apply the distributive property.
Step 3.5
Simplify.
Tap for more steps...
Step 3.5.1
Multiply by .
Step 3.5.2
Multiply by .
Step 3.6
Apply the distributive property.
Step 3.7
Multiply by .
Step 4
Simplify by adding terms.
Tap for more steps...
Step 4.1
Subtract from .
Step 4.2
Simplify by subtracting numbers.
Tap for more steps...
Step 4.2.1
Subtract from .
Step 4.2.2
Subtract from .