Question

If the function \(g\) is defined by \(g(x)=3 x+5\), what is the value of \(g(-5)\) ? A) \(-20\) B) \(-10\) C) 20 D) 60

Short answer

The short answer based on the step-by-step solution is: \(g(-5) = -10\). The correct option is B) -10.

Step-by-step solution

Understand the function g(x)

The function g(x) is given by g(x) = 3x + 5. This is a linear function, and to find its output for a given input, we substitute the value of x and calculate the expression. Step 2: Substitute x with -5

Substitute x with -5

To find the value of g(-5), we need to substitute x with -5 in the given function g(x) = 3x + 5: g(-5) = 3(-5) + 5. Step 3: Evaluate the expression

Evaluate the expression

Now that we have our expression, we just need to calculate it: g(-5) = 3(-5) + 5 = -15 + 5 = -10. The value of g(-5) is -10, which corresponds to option B. Therefore, the answer is B) -10.