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Answer :
To find the value of [tex]\( f(-3) \)[/tex] for the function [tex]\( f(x) = 5x^2 - 7x \)[/tex], follow these steps:
1. Substitute [tex]\( x = -3 \)[/tex] into the function [tex]\( f(x) = 5x^2 - 7x \)[/tex].
2. Calculate the square of [tex]\(-3\)[/tex]:
[tex]\[ (-3)^2 = 9 \][/tex]
3. Multiply [tex]\( 5 \)[/tex] by the result from step 2:
[tex]\[ 5 \times 9 = 45 \][/tex]
4. Next, calculate the product of [tex]\(-7\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[ -7 \times (-3) = 21 \][/tex]
5. Now, add the two results from steps 3 and 4:
[tex]\[ 45 + 21 = 66 \][/tex]
Therefore, the value of [tex]\( f(-3) \)[/tex] is:
[tex]\[ \boxed{66} \][/tex]
1. Substitute [tex]\( x = -3 \)[/tex] into the function [tex]\( f(x) = 5x^2 - 7x \)[/tex].
2. Calculate the square of [tex]\(-3\)[/tex]:
[tex]\[ (-3)^2 = 9 \][/tex]
3. Multiply [tex]\( 5 \)[/tex] by the result from step 2:
[tex]\[ 5 \times 9 = 45 \][/tex]
4. Next, calculate the product of [tex]\(-7\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[ -7 \times (-3) = 21 \][/tex]
5. Now, add the two results from steps 3 and 4:
[tex]\[ 45 + 21 = 66 \][/tex]
Therefore, the value of [tex]\( f(-3) \)[/tex] is:
[tex]\[ \boxed{66} \][/tex]
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