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antiseptic1488 [7]
3 years ago
10

Given the functions f(x)= 1/x−4 +3 and g(x)=1/x+1 +6 .

Mathematics
2 answers:
melomori [17]3 years ago
7 0

ANSWER

The graph shifts 5 units left and 3 units up.

EXPLANATION

The given functions are:

f(x) =  \frac{1}{x - 4}  + 3

and

g(x) =  \frac{1}{x + 1}  + 6

We want to transform f(x) so that, it coincide with the g(x).

The required transformation is

f(x+5)+3

Let us see why this works.

f(x+5)+3 = \frac{1}{x + 5- 4}  + 3 + 3

f(x+5)+3 = \frac{1}{x + 1}  + 6 = g(x)

The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.

The third choice is correct.

babunello [35]3 years ago
3 0

<u>Answer with step-by-step explanation:</u>

We are given a function f(x) =  \frac{1}{x - 4}  + 3 which is to be transformed to another function g(x) =  \frac{1}{x + 1}  + 6.

We are to determine whether which statement describes the transformation of the graph of function f onto the graph of function g.

f(x+5)+3 = \frac{1}{x + 5- 4}  + 3 + 3

f(x+5)+3 = \frac{1}{x + 1}  + 6

f(x)=g(x)

Therefore, the correct answer option is: The graph shifts 5 units right and 3 units up.

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