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Which function has the same range as

f(x)=−5/7(3/5)x ?

answer choices:
g(x)= 5/7(3/5) -x

g(x)= -5/7(3/5) -x

g(x)= 5/7(3/5)x

g(x)= -(-5/7)(5/3)x


User Kellogs
by
8.2k points

2 Answers

7 votes

Answer:

B. g(x) = -5/7 (3/7)^-x

Explanation:

Got Correct On Mypath.

User Bill Fraser
by
7.5k points
5 votes

Answer:

The range of a function is the set of all possible output values. To find a function with the same range as f(x) = (-5/7)(3/5)x, we need to find a function g(x) such that the output values of g(x) are the same as the output values of f(x).

Notice that the function f(x) is a linear function with slope (-5/7)(3/5) = -3/7, and y-intercept of 0. Therefore, any function with the same slope and y-intercept of 0 will have the same range as f(x).

Out of the given answer choices, we can see that the function g(x) = 5/7(3/5)x has the same slope as f(x) but the y-intercept is different (it is also 0). Therefore, g(x) = 5/7(3/5)x has the same range as f(x).

So, the answer is g(x) = 5/7(3/5)x.

User Gkpo
by
8.1k points

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