Home
Class 12
MATHS
If the function r(s) is defined as 2s+3 ...

If the function r(s) is defined as 2s+3 for all values of s and r(4)=x, what is the value of r(x)?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to follow these steps: 1. **Understand the function**: The function \( r(s) \) is defined as \( r(s) = 2s + 3 \). 2. **Calculate \( r(4) \)**: We need to find the value of \( r(4) \) using the function definition. \[ r(4) = 2(4) + 3 \] \[ = 8 + 3 = 11 \] So, we have \( r(4) = x \) which means \( x = 11 \). 3. **Calculate \( r(x) \)**: Now we need to find \( r(x) \). Since we found that \( x = 11 \), we need to calculate \( r(11) \). \[ r(11) = 2(11) + 3 \] \[ = 22 + 3 = 25 \] Thus, the value of \( r(x) \) is \( 25 \).
Promotional Banner

Topper's Solved these Questions

  • PROBLEM SETS

    PRINCETON|Exercise PROBLEM SET 1: PLUGGING IN|11 Videos
  • PROBLEM SETS

    PRINCETON|Exercise PROBLEM SET 2: MORE PLUGGING IN|11 Videos
  • PRACTICE TEST 4

    PRINCETON|Exercise Math Test-Calculator|38 Videos
  • SAT MATH: THE BIG PICTURE

    PRINCETON|Exercise Example|4 Videos

Similar Questions

Explore conceptually related problems

If (r)/(3)=6 , what is the value of (4s)/(r) ?

If 4x^(2)+20x+r=(2x+s)^(2) for all values of x, what is the values of r-s ?

f(x)=3x^(3)-5x^(2)-48x+80 If the zeros of function f defined above are represented by r, s, and t, what is the value of the sum r+s+t ?

If (2rs)^(-1)=3s^(-2) , what is the value of (r)/(s) ?

Let the functions g be defined as g(x)=-3x+6 . If g(6)=r , what is the value of g(r)?

For any real numbers r and s such that r nes , let r…s be defined by r….s=(r-s)/(r+s) . If r-s=63 and r…s=9 , what is the value of r?

If x^(2)-2x-15=(x+r)(x+s) for all values of x, what is one possible value of r-s?

(x+5)/(4)=(1-x)/(3x-4) If the solutions to the equation above are r and s with rgts , what is the value of r-s?

If r=(6)/(3x+2) and tr=(2)/(3s+2) ,what is the value of t?

The average of r and s is 7.5, and the average of r, s and t is 11. What is the value of t?