Answer:
[tex]a=7.5[/tex]
Step-by-step explanation:
Given the function [tex]f(x)=6x-15[/tex] and the output [tex]30[/tex] when [tex]x=a[/tex], we can write the equation:
[tex]6a-15=30[/tex]
[tex]6a=45[/tex]
[tex]a=7.5[/tex]
We can insert the value of [tex]a[/tex] into the function to verify the output equals [tex]30[/tex]:
[tex]f(a) = 6a-15[/tex]
[tex]= 6(7.5)-15[/tex]
[tex]=30[/tex]
∴ We have verified that [tex]a=7.5[/tex]
Hope this helps :)
