GuideFoot - Learn Together, Grow Smarter. Logo

In Mathematics / High School | 2025-07-03

Evaluate each function for the given value.

1) f(x) = 4x + 2; Find f(0)
2) f(x) = -2x + 2; Find f(-3)
3) f(x) = 2x; Find f(-9/5)
4) f(x) = -3x; Find f(3/5)
5) f(x) = 3x - 4; Find f(0.2)
6) f(x) = x + 6; Find f(3.8)

Asked by shemiahking6505

Answer (1)

Let's evaluate each function for the given value step-by-step.

Function: f ( x ) = 4 x + 2

To Find: f ( 0 )

Substitute x = 0 into the function: f ( 0 ) = 4 ( 0 ) + 2 = 0 + 2 = 2 So, f ( 0 ) = 2 .

Function: f ( x ) = − 2 x + 2

To Find: f ( − 3 )

Substitute x = − 3 into the function: f ( − 3 ) = − 2 ( − 3 ) + 2 = 6 + 2 = 8 So, f ( − 3 ) = 8 .

Function: f ( x ) = 2 x

To Find: f ( − 5 9 ​ )

Substitute x = − 5 9 ​ into the function: f ( − 5 9 ​ ) = 2 ( − 5 9 ​ ) = − 5 18 ​ So, f ( − 5 9 ​ ) = − 5 18 ​ .

Function: f ( x ) = − 3 x

To Find: f ( 5 3 ​ )

Substitute x = 5 3 ​ into the function: f ( 5 3 ​ ) = − 3 ( 5 3 ​ ) = − 5 9 ​ So, f ( 5 3 ​ ) = − 5 9 ​ .

Function: f ( x ) = 3 x − 4

To Find: f ( 0.2 )

Substitute x = 0.2 into the function: f ( 0.2 ) = 3 ( 0.2 ) − 4 = 0.6 − 4 = − 3.4 So, f ( 0.2 ) = − 3.4 .

Function: f ( x ) = x + 6

To Find: f ( 3.8 )

Substitute x = 3.8 into the function: f ( 3.8 ) = 3.8 + 6 = 9.8 So, f ( 3.8 ) = 9.8 .


For each case, substitute the given value of x into the function, perform the arithmetic operations, and get your final result.

Answered by IsabellaRoseDavis | 2025-07-06