Math

QuestionFind g(3)g(-3) by substituting -3 into g(x)=2x25g(x)=2x^{2}-5 and simplify.

Studdy Solution

STEP 1

Assumptions1. The function g(x) is defined as g(x)=x5g(x) =x^{} -5 . We are asked to find the value of g(-3)

STEP 2

First, we need to substitute - for each x in the function g(x).
g()=2()25g(-) =2(-)^{2} -5

STEP 3

Now, simplify the expression inside the parentheses first according to the order of operations (PEMDAS/BODMAS).
g(3)=2(9)5g(-3) =2(9) -5

STEP 4

Next, multiply2 by9.
g(3)=18g(-3) =18 -

STEP 5

Finally, subtract5 from18 to find the value of g(-3).
g(3)=13g(-3) =13So, g(3)=13g(-3) =13.

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