Question

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Consider the two functions given below.


`f(x)=-3x-5\\g(x)=f(x)+9`

What is the y-intercept of g?

A. (0,-5)
B. (0,14)
C. (0,4)
D. (0,9)

Answer 1

C

Explanation:

substitute f(x) into g(x)

g(x) = f(x) + 9 = -3x - 5 + 9 = - 3x + 4

To find the y-intercept solve g(0)

g(0) = 0 + 4 = 4 ← y- intercept → (0, 4 ) → C