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Let f(x) = x+5 and g(x) = x -5 , x in R....

Let f(x) = x+5 and g(x) = x -5 , `x in R`. Find (fog)(5).

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To solve the problem, we need to find \( (f \circ g)(5) \), which means we will first find \( g(5) \) and then use that result to find \( f(g(5)) \). ### Step-by-Step Solution: 1. **Identify the functions**: - We have \( f(x) = x + 5 \) - We have \( g(x) = x - 5 \) ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - I) Subjective Type Questions
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  2. Let g(x) be a function satisfying g(0) = 2, g(1) = 3, g(x+2) = 2g(x+1)...

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  3. Let g(x+(1)/(y)) + g(x-(1)/(y)) = 2g(x) g((1)/(y)) AA x, y in R, y !=0...

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  4. Let f : W-> W be a given function satisfying f(x) = f(x-1)+f(x-2) for...

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  5. Let f(x)=ln((1-x)/(1+x)) . Find x,y for which f(x)+f(y)=f((x+y)/(1+xy)...

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  6. The function f(x) satisfies the equation f(x + 1) + f(x-1) = sqrt3 f(x...

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  7. Let g : R rarr R be given g(x) = 3 + 4x. If g^(n)(x) = gogo.......ogo(...

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  8. Let f(x) = (e^(x) - e^(-x))/(2) and if g(f(x)) = x, then g((e^(1002) -...

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  9. Let f(x) be a function such that f(x + y) = f(x)+f(y) AA x, y in N and...

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  10. Let f(x) = (1)/(2) + sqrt((x-(3)/(4)) and phi(x) = f^(-1)(x) then phi(...

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  11. Let f : R rarr R and g : R rarr R be two given functions defined as f(...

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  12. about to only mathematics

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  13. Let f(x) = x+5 and g(x) = x -5 , x in R. Find (fog)(5).

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  14. Let f : R rarr R : f(x) = (2x-3)/(4) be an invertible function. Find f...

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  15. Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a...

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  16. If functions f:A to B and g : B to A satisfy gof= I(A), then show that...

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  17. Find the domain and range of the real function f(x) = sqrt(4-x^(2))

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