Functions Grade 11 Textbook May 2026

(f(x)=x^2+1), (g(x)=2x-3) Find ((f\circ g)(x) = f(g(x)) = (2x-3)^2 + 1 = 4x^2 -12x + 10) 3. Transformations of Functions Given (y = a,f(k(x-d)) + c):

(f(x)=2x-5) (y=2x-5 \Rightarrow x=2y-5 \Rightarrow 2y=x+5 \Rightarrow y=\fracx+52) So (f^-1(x)=\fracx+52) functions grade 11 textbook

Find population after 10 hours: (P(10)=500\cdot 2^10/4=500\cdot 2^2.5=500\cdot 2^2\cdot 2^0.5=500\cdot 4\cdot \sqrt2\approx 500\cdot 5.657 = 2828) Inverse of exponential: (y = \log_b x \iff b^y = x) Domain: (x>0) Range: all real numbers (f(x)=x^2+1), (g(x)=2x-3) Find ((f\circ g)(x) = f(g(x)) =

Key: (b>0, b\neq 1) If (b>1) → growth; if (0<b<1) → decay. Grade 11 Functions – Study Paper Topics: Characteristics

Below is a summary + original problems. Grade 11 Functions – Study Paper Topics: Characteristics of functions, domain/range, transformations, inverse functions, exponential functions, trigonometric functions, sequences & series. 1. Function Basics Definition: A function (f) pairs each element (x) in the domain with exactly one element (y) in the range.