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Answer:
a) f(0) = -9
b) f(2) = -5
c) f(-3) = -15
d) f(1/2)=-8
Step-by-step explanation:
We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:
a) f(0)
For finding f(0) put x =0 in the given function
[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]
So, we get f(0)=-9
b) f(2)
For finding f(2) put x =2 in the given function
[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]
So, we get f(2)=-5
c) f(-3)
For finding f(-3) put x =-3 in the given function
[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]
So, we get f(-3)=-15
d) f(1/2)
For finding f(1/2) put x =1/2 in the given function
[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]
So, we get f(1/2)=-8