So, the required function is [tex]h(2x-3)=6x-5[/tex]
Mapping:
A mapping diagram is an image of two circles that shows the relationship between the input and output values.
Given function is,
[tex]h(x)=3x + 4[/tex]
Now, applying the given transformation into the given function
[tex]h(2x-3)=3(2x-3)+4\\h(2x-3)=6x-9+4\\h(2x-3)=6x-5[/tex]
Learn more about the topic mapping:
https://brainly.com/question/2565755
