If f(x)=6x-15 and f(a)=30, what is the value of a?
Please help

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 :)

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