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Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

What is the solution to the equation f(x)=g(x) ?

User Mick Bruno
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1 Answer

11 votes
11 votes

Answer:

x = 2

Explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x) <----- Given equation

2x + 1 = -x + 7 <----- Insert functions

3x + 1 = 7 <----- Add "x" to both sides

3x = 6 <----- Subtract 1 from both sides

x = 2 <----- Divide both sides by 3

User Tsury
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