Math Problem Statement

1. If f(x) = x + 3, the value of f(2) is 2. The equation of a straight line is given as 2y + x = 4. The x-intercept of this line is

Solution

Let's solve each question step-by-step.

Question 1

The function is given as: f(x)=x+3f(x) = x + 3 We are asked to find f(2)f(2).

To solve this, substitute x=2x = 2 into the function: f(2)=2+3=5f(2) = 2 + 3 = 5 Answer: The correct option is C. 5

Question 2

The equation of the line is given as: 2y+x=42y + x = 4 We need to find the xx-intercept of this line. The xx-intercept occurs when y=0y = 0.

  1. Substitute y=0y = 0 into the equation: 2(0)+x=42(0) + x = 4
  2. This simplifies to: x=4x = 4

Answer: The correct option is D. 4

Would you like more details on these solutions or have any further questions?

Here are some related questions for further practice:

  1. If f(x)=2x+1f(x) = 2x + 1, what is f(3)f(3)?
  2. For a line with equation 3yx=63y - x = 6, what is the xx-intercept?
  3. If f(x)=x2+4x+4f(x) = x^2 + 4x + 4, find f(2)f(-2).
  4. What is the yy-intercept of the line 3y+2x=93y + 2x = 9?
  5. If g(x)=5x7g(x) = 5x - 7, what is g(0)g(0)?

Tip: When finding intercepts, remember that setting y=0y = 0 gives the xx-intercept, and setting x=0x = 0 gives the yy-intercept.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Intercepts

Formulas

f(x) = x + 3
2y + x = 4

Theorems

Function evaluation
Finding intercepts

Suitable Grade Level

Grades 7-9