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Question: A function \(f\) is defined by\(f\left( x \right) = 2x - 5\) . Write down the values of \( \le...

A function ff is defined byf(x)=2x5f\left( x \right) = 2x - 5 . Write down the values of
(i)f(0) (ii)f(7) (iii)f(3)  \left( i \right)f\left( 0 \right) \\\ \left( {ii} \right)f\left( 7 \right) \\\ \left( {iii} \right)f\left( { - 3} \right) \\\

Explanation

Solution

Hint: In this question we simply use putting the values and getting the results.

Now given that,
f(x)=2x5f\left( x \right) = 2x - 5
Now putting the different values of xx in f(x)f\left( x \right)
(i) f(0)=2×05 =05 =5  (ii) f(7)=2×75 =145 =9  (iii) f(3)=(2×3)5 =65 =11  \left( i \right){\text{ }}f\left( 0 \right) = 2 \times 0 - 5 \\\ = 0 - 5 \\\ = - 5 \\\ \\\ \left( {ii} \right){\text{ }}f\left( 7 \right) = 2 \times 7 - 5 \\\ = 14 - 5 \\\ = 9 \\\ \\\ \left( {iii} \right){\text{ }}f\left( { - 3} \right) = \left( {2 \times - 3} \right) - 5 \\\ = - 6 - 5 \\\ = - 11 \\\
Note: These types of questions can be solved by simply putting the different values of xx in the given function and thus we will get the different values of f(x)f\left( x \right) for different values of xx .