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f(x) = 3x - 2a || g(x) = 2ax + 1 || fg(x) = 2x + b/2

fg(x) = 3(2ax +1) - 2a = 6ax + 3 - 2a6ax + 3 -2a = 2x + b/26a = 2 -> a = 1/33 - 2a = b/2 -> if a = 1/3 then: 3 - 2(1/3) = 9/3 - 2/3 = 7/3 7/3 * 2 = b = 14/3
EB
Answered by Elliott B. • Maths tutor
3519 Views

168 is 4/7 of a number. What is the number?

If 168 is four sevenths of a number then divide this by 4 to give 1 seventh of the number. 168/4 = 42 So 42 is one seventh of the number. Now multiply this by 7 to find the number. 42*7 = 294
WL
Answered by William L. • Maths tutor
5930 Views

How do you find the gradient of a linear line just by looking at the graph?

When finding the gradient of a line we need to first locate any two points, on the line, where we know the x-coordinates and we know the y-coordinates. Now, with these two coordinates we need to find two val...
JS
Answered by Jozef S. • Maths tutor
3325 Views

Find f^-1(x) for the following equation: f(x) = (12+x)/3

f -1 (x) is equivalent to the inverse of the function f(x). To solve the inverse of a function, a series of steps must be followed: 1) Write out the equation x = f(y ) This in effect is replacing all x's of ...
BW
Answered by Bethany W. • Maths tutor
3803 Views

Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x 2 +y 2 =25; y-3x=13; x 2 +(13+3x) 2 =25; x 2 +9x 2 +78x+169=25; 10x 2 +78x+144=0; 5x 2 +39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7/5;x=-3 and y=4
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Answered by Nadia C. • Maths tutor
3345 Views