Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Function Notation
Continue to next subchapter

Exercise 15 Page 125

Substitute 7 for m(x).

-2

Practice makes perfect
To find the value of x that will make the function equal to 7, we will substitute 7 for m(x) in the given function rule. Then, we can solve for x.
m(x)=4x+15
7=4x+15
â–Ľ
Solve for x
7- 15=4x+15- 15
-8=4x
-8/4=4x/4
-8/4=4x/4
-2=4x/4
-2=4/4 * x
-2=1 * x
-2=x
x=-2
When x=-2, the function equals 7.

Checking Our Answer

Verifying Our Solution
We can verify our solution by substituting x=-2 into the function and evaluating.
m(x)=4x+15
m( -2)=4( -2)+15
m(-2)=-4 * 2+15
m(-2)=-8+15
m(-2)=7
When x=-2, m(x)=7, so our solution is correct.