Question

given the function f(x)= 3( x + 2 ) - 5
evaluate f(3)

evaluate f(-2)

1. given the function f(x)=-2(6x-1)+1

evaluate f(1)

Explanation:

For \( f(x) = 3(x + 2) - 5 \), Evaluate \( f(3) \)

Step1: Substitute \( x = 3 \) into \( f(x) \)

\( f(3) = 3(3 + 2) - 5 \)

Step2: Simplify the expression

First, calculate inside the parentheses: \( 3 + 2 = 5 \). Then multiply: \( 3\times5 = 15 \). Finally, subtract: \( 15 - 5 = 10 \).

Step1: Substitute \( x = -2 \) into \( f(x) \)

\( f(-2) = 3(-2 + 2) - 5 \)

Step2: Simplify the expression

First, calculate inside the parentheses: \( -2 + 2 = 0 \). Then multiply: \( 3\times0 = 0 \). Finally, subtract: \( 0 - 5 = -5 \).

Step1: Substitute \( x = 1 \) into \( f(x) \)

\( f(1) = -2(6\times1 - 1) + 1 \)

Step2: Simplify the expression

First, calculate inside the parentheses: \( 6\times1 - 1 = 5 \). Then multiply: \( -2\times5 = -10 \). Finally, add: \( -10 + 1 = -9 \).

Answer:

\( f(3) = 10 \)

For \( f(x) = 3(x + 2) - 5 \), Evaluate \( f(-2) \)