Question

Evaluate the expressions, given functions f, g, and h: f(x) = 3x - 2 g(x) = 5 - x h(x) = -2x + 3x - 11. What is the result of 3f(1) - 4g(-2)? Option 1: 29 Option 2: 35 Option 3: 17 Option 4: 23

Answer 1

To evaluate the expression 3f(1) - 4g(-2) using given functions f(x), g(x), and h(x), we substitute the values into the expression. The result is -25.

Step-by-step explanation:

To evaluate the expression, we need to substitute the given functions into the expression. Let's start with f(x). Since f(x) = 3x - 2, we can find f(1) by substituting x = 1: f(1) = 3(1) - 2 = 3 - 2 = 1.

Next, let's evaluate g(x). g(x) = 5 - x, so to find g(-2), we substitute x = -2: g(-2) = 5 - (-2) = 5 + 2 = 7.

Finally, we can substitute the values we found into the expression 3f(1) - 4g(-2): 3f(1) - 4g(-2) = 3(1) - 4(7) = 3 - 28 = -25.

Therefore, the correct result is -25, which is not one of the given options.

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