Ben McGovern

Finding the transformation of a linear function $f(x)=mx+c$ to $f(x+a)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $f(ax)+b$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $af(bx)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $af(x+b)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $f(ax+b)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax)+b$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(bx)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(x+b)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax+b)$.

Finding the inverse of a function of the form $f(x)=\ln(ax)+b$ for $x>0$.

Finding the inverse of a function of the form $f(x)=e^{mx+c}$.

Finding the inverse of a function of the form $f(x)=\frac{x^2}{a}+b$ for $x \geq 0$.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x},\,x\neq0$.

Finding the inverse of a linear function $f(x)=mx+c$.

Evaluating a modulus function of the form $f(x)=ax+b|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=x^2+m|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=c-m|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=m|x|+c$ for a given value of $x$.

Evaluating a cubic function for a given value of $x$.

Evaluating a quadratic function for a given value of $t$.

Evaluating a linear function for a given value of $x$.

Evaluating composite functions involving a linear function and a modulus function of the form $f(x)=|x|+c$, for a given value of $x$.

Finding composite functions of a linear function and a modulus function.

Finding composite functions of a quadratic function and an exponential function.

Finding composite functions of a linear function and an exponential function.

Finding composite functions of a linear function and a logarithmic function.

Finding composite functions of a linear function and a function of the form $x^n+a$.

Finding composite functions of 2 linear functions.

Given an equation of the form $m=m_0 e^{-kt}$ to model the mass of a radioactive material, calculate the decay constant $k$ and the time taken for the material to reach a certain percentage of its initial mass.