If f(x) = x + | x – 1| then the value of f(-5) is (a) -1 (b) 1 (c) 11 (d) none of these
Answers
Answer:
noneof them
Step-by-step explanation:
f(-5)=-5+(-5-1)
= -5-6
= -11
Given
we have given function f(x)= x+|x-1|
To find
we have to find f(-5)
(b) 1
We have given a function f(x)= x+|x-1|
Note : Any change in f(x) will cause a change in the function.
Now ,our function is f(x) and we have to find f(-5) now compare the coefficient of f(x) with f(-5) , we find x=-5
So,we have to find the value of f(x) at x=-5
at x= -5
=>f(-5)= -5+|-5-1|
=>f(-5)= -5+|-6|
=>f(-5)=-5+6( + 6 as -ve value comes out from mode becomes +ve)
=>f(-5)= 1
Therefore ,f(-5) is 1
Extra information=>
➥The above function is a linear equation as highest power is 1.
➥f(x)=y here ,f is the function and x is an input which gives output say 'y'.
➥We can find infinite number of output of f(x) by putting infinite number of values into f(x).