The true statement is g(x) = 3.f(x) ⇒ 1st answer
Step-by-step explanation:
- f(x) = 2x + 5
- g(x) = 6x + 15
We need to find which statement is true
Let us compare between the x term in the two function and the numerical terms in the two function
∵ The x terms are 2x and 6x
∵ 6x ÷ 2x = 3
∵ The numerical terms are 5 and 15
∵ 15 ÷ 5 = 3
- That means each term of f(x) is multiplied by 3 to give g(x)
∴ g(x) = 3(2x + 5)
∴ g(x) = 3.f(x)
The true statement is g(x) = 3.f(x)
V.I.Notes:
- f(3x) means we multiply x only by 3, then g(x) = 6x + 5
- f(x + 3) means we add x only by 3, then g(x) = 2(x + 3) + 5, when simplify it g(x) = 2x + 11
- f(x) + 3 means we add 3 to (2x + 5), then g(x) = 2x + 8
Learn more:
You can learn more about the functions in brainly.com/question/4326955
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