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Given [tex]f(x) = 10(3-x) + 6[/tex], what is the value of [tex]f(-1)[/tex]?

A. 35

B. 37

C. 26

D. 46

Answer :

The output value of f( -1 ) in the function f( x ) = 10( 3 - x ) + 6 is 46.

Hence, option 46 is the correct answer.

What is the output value of f( -1 ) in the given function?

Given the function in the question:

f( x ) = 10( 3 - x ) + 6

f( -1 ) =?

To determine the output value of f( -1 ) in the function f( x ) = 10( 3 - x ) + 6, first, replace all occurrences of the variable 'x' in the function with ( -1 ) and simplify.

f( x ) = 10( 3 - x ) + 6

Plug in x = -1

f( -1 ) = 10( 3 - ( -1 ) ) + 6

Simplifying, we get:

f( -1 ) = 10( 3 + 1 ) + 6

f( -1 ) = 10( 4 ) + 6

f( -1 ) = 40 + 6

Add the integers:

f( -1 ) = 46

Therefore, the output value of f( -1) is 46.

Option 46 is the correct answer.

Learn more about function operations here: brainly.com/question/2541698

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Answer:

46

Step-by-step explanation:

[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]

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