The graphs of f(x) = 10x and its translation, g(x), are shown. What is the equation of g(x)? g(x) = 10x – 3 g(x) = 10x + 3 g(x) = 10x – 3 g(x) = 10x + 3

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asked Dec 21, 2018 169k views

2 Answers

Sondre · Answer 1 · 2018-12-25T05:37:14+0000

Answer:

The equation for the function g(x) is:

g(x)=(10)^(x-3)

Explanation:

We are given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

f(x)=(10)^x

Now, we are asked to find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through (3,1),(4,10) , (5,100) and so on.

This means that the equation or the expression for the function g(x) is given by:

g(x)=(10)^(x-3)

( Since, when x=3 we have:

g(x)=(10)^(3-3)=10^0=1

when x=4 we have:

$g(x)=(10)^(4-3)\\\\g(x)=(10)^(1)\\\\g(x)=10$

and so on)