{"id":9698,"date":"2022-01-25T15:58:53","date_gmt":"2022-01-25T10:28:53","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9698"},"modified":"2022-01-25T15:58:55","modified_gmt":"2022-01-25T10:28:55","slug":"equal-function-in-maths-definition-and-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/equal-function-in-maths-definition-and-examples\/","title":{"rendered":"Equal Function in Maths – Definition and Examples"},"content":{"rendered":"

Here you will learn what is equal function in maths with definitions and examples.<\/p>\n

Let’s begin –<\/p>\n

Equal Function in Maths<\/h2>\n

Definition<\/strong> : Two functions f and g are said to be equal iff<\/p>\n

(i) domain of f = domain of g<\/p>\n

(ii) co-domain of f = codomain of g.<\/p>\n

and (iii) f(x)\u00a0 = g(x) for every x belonging to their common domain.<\/p>\n

If two functions f and g are equal, then we write f = g.<\/p><\/blockquote>\n

Also Read<\/strong> : Types of Functions in Maths \u2013 Domain and Range<\/a><\/p>\n

Example<\/strong><\/span> : Let A = {1, 2}, B = {3, 6} and f : A \\(\\rightarrow\\) B given by f(x) = \\(x^2\\) + 2 and g : A \\(\\rightarrow\\) B given by g(x) = 3x. Then, we observe that f and g have the same domain co-domain.<\/p>\n

Also we have, f(1) = 3 = g(1) and f(2) = 6 = g(2)<\/p>\n

Hence,\u00a0 f = g.<\/p>\n

Example<\/strong><\/span> : Let f : R – {2} \\(\\rightarrow\\) R be defined by f(x) = \\(x^2 – 4\\over x – 2\\) and g : R \\(\\rightarrow\\) R be defined by g(x) = x + 2. Find whether f = g or not.<\/p>\n

Solution<\/strong><\/span> :\u00a0 Clearly, f(x) = g(x) for all x \\(\\in\\) R – {2}.<\/p>\n

But f(x) and g(x) have different domains.<\/p>\n

Infact, domain of f = R – {2} and domain of g = R. Therefore, f \\(\\ne\\) g.<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is equal function in maths with definitions and examples. Let’s begin – Equal Function in Maths Definition : Two functions f and g are said to be equal iff (i) domain of f = domain of g (ii) co-domain of f = codomain of g. and (iii) f(x)\u00a0 = g(x) …<\/p>\n

Equal Function in Maths – Definition and Examples<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[26],"tags":[784,785,786],"yoast_head":"\nEqual Function in Maths - Definition and Examples - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is equal function in maths with definitions and examples based on it.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/equal-function-in-maths-definition-and-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Equal Function in Maths - 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