***this is urgent you will get brainilest! *** (100 points! )

select the correct answer. which transformation of f(x) will produce the same graph as g(x)?
f(x) = 3x

g(x) = f(x) + 3

a. h(x) = 2f(x)

b. h(x) = f(x − 1)

c. h(x) = f(x + 1)

d. h(x) = f(x) + 1

C. h(x) = f(x + 1)

Please see the graph solution below

Step-by-step explanation:

1. Take g(x) and replace f(x) into it:

Replacing f(x):

2. To know if one transformation of the function produce the same graph as other function, they must be equal, to find one function equal to f(x) you could use the factorization, that is:

Taking out the number three as the common factor:

3. Take the function f(x) and apply the transformation:

You can see the graphs below and verify that giving values to x the function g(x) and the function h(x) have the same graph.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5