Question

You have two exponential functions. One function has the formula g(x) = 3 x . The other function has the formula h(x) = 2-x . Which option below shows the graph of k(x) = g(x) - h(x)?

Answer 1

Shown below

Explanation:

The options aren't provided. However, we can answer this question. Here we have two exponential functions:

$g(x)=3^x \\ \\ h(x)=2^{-x}$

• The function g(x) is an exponential growth.
• The function h(x) is an exponential decay.

So we are asked to find another function k(x):

$k(x)=g(x)-h(x)$

In this new function we subtract h(x) from g(x), so:

$k(x)=3^x-2^{-x}$

By using graphing tool, we get the graph as shown below. Notice that this graph passes through the origin because:

$k(0)=3^0-2^{-0} \\ \\ k(0)=1-1 \\ \\ k(0)=0$

Learn more:

Making tables from functions: brainly.com/question/2142560

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