(F + G) (X) = 10X + 7
IF F (X) = 6X + 2 WHAT DOES G (X) EQUAL?
A.) x-1
B.) 2x+2
C.) 3x+6
D.) 4x+5
We can start by using the formula given:
(F + G) (X) = 10X + 7
Substitute F(X) = 6X + 2:
(6X + 2 + G(X)) = 10X + 7
Simplify by combining like terms:
G(X) = 4X + 5
Therefore, the answer is D.) 4x+5.
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To find the value of G(x), we need to substitute the given values of F(x) and the expression (F + G)(x) = 10x + 7 into the equation.
Given that F(x) = 6x + 2 and (F + G)(x) = 10x + 7, we can substitute these expressions into the equation:
(6x + 2 + G(x)) = 10x + 7
To find G(x), we need to isolate it on one side of the equation. Let's subtract 6x from both sides of the equation:
2 + G(x) = 4x + 7
Next, let's subtract 2 from both sides:
G(x) = 4x + 7 - 2
Simplifying, we get:
G(x) = 4x + 5
Therefore, G(x) equals 4x + 5. So, the correct option is D.) 4x + 5.