Composition of functions

Evaluating a function by substitution ●○○○○ 10 ptsIf $g(2x - 5) = 3x + 9$ for all real $x$ , find $g(1)$ .
Evaluating a function from its composite form ●○○○○ 10 ptsLet $g(2x + 5) = 4x^2 - 3x + 2$ . Find $g(-3)$ .
Composition of two functions at points ●○○○○ 10 ptsIf $f(x) = x^2-2x+1$ and $g(x) = \sqrt{2x+1}$ , what is the value of $f(g(4)) - g(f(3))$ ?
Evaluate a function from two values ●●○○○ 20 ptsIf $f(1)=5$ , $f(2)=8$ and $f(x)=ax+bx+2$ , what is the value of $f(3)$ ?
Function value via substitution ●●○○○ 20 ptsGiven the function $f(x-1)=x^{2}-2x$ , find the value of $f(\sqrt{2})$ .
Input value of a linear function ●●○○○ 20 ptsGiven that $f\left(\frac{x}{2} - 1\right) = 2x + 3$ for all $x$ , and $f(m) = 6$ , find the value of $m$ . Give your answer as a decimal.

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