If <em>h(x)</em> is the inverse of <em>f(x)</em>, then by definition of inverse function, we have
<em>f(h(x))</em> = <em>x</em>
By definition of <em>f(x)</em>, composing <em>f</em> with <em>h</em> gives
<em>f(h(x))</em> = 2 <em>h(x)</em> - 10
Solve for <em>h(x)</em> :
<em>x</em> = 2 <em>h(x)</em> - 10
2 <em>h(x)</em> = <em>x</em> + 10
<em>h(x)</em> = (<em>x</em> + 10)/2
<em>h(x)</em> = <em>x</em>/2 + 5
So... whichever option most closely resembles this is the correct one. It's hard to tell exactly which one that would be.
The measures of two angles have a sum of 180º if and only if the angles are supplements. This statement is true.
A biconditional statement has 2 parts : a conditional statement that states "If hypothesis, then conclusion" and a converse statement which states " If conclusion, then hypothesis" . When both these parts are true, then it is called a biconditional statement.
<span>A. 8x+3x = 11x
B. (8+3)x = 11x
C. 11x = 11x
D. 11x^2 = 11x^2
answer
</span><span>D. 11x^2</span>
Answer:
Step-by-step explanation:
Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is
- ∞ < x < ∞
Answer:
gradient = 4
Step-by-step explanation:
Calculate the gradient using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)
m = 
= 
= 4
